scale

Documentation

Index

• type Generator
  • func (g Generator) Edge() pitch.WithDegree
  • func (g Generator) Root() pitch.WithDegree
• type Perfection
• type Type
  • func AllScales() []Type
  • func FromInt(num int) Type
  • func FromRingNumber(n int) Type
  • func FromZeitlerNumber(n int) Type
  • func (s Type) Balanced() bool
  • func (s Type) Cardinality() int
  • func (s Type) CenterOfGravity(tonic pitch.Type) (float64, float64)
  • func (s Type) FifthGeneratorRoot() Generator
  • func (s Type) FifthGeneratorRootWithTonic(tonic pitch.Type) Generator
  • func (s Type) IntervalPattern() []int
  • func (s Type) Number() int
  • func (s Type) Palindromic() bool
  • func (s Type) Perfection() Perfection
  • func (s Type) PitchClass() []int
  • func (s Type) PitchFlags() []bool
  • func (s Type) Pitches(tonic pitch.Type) []pitch.Type
  • func (s Type) ReflectiveSymmetric() bool
  • func (s Type) ReflectiveSymmetryAxes() []int
  • func (s Type) RingNumber() int
  • func (s Type) RotationalSymmetric() bool
  • func (s Type) RotationalSymmetryLevel() int
  • func (s Type) String() string
  • func (s Type) ZeitlerNumber() int

Types

type Generator

type Generator struct {
	Orphan []pitch.WithDegree
	Left   []pitch.WithDegree
	Center []pitch.WithDegree
	Right  []pitch.WithDegree
}

Generator is scale generator components

func (Generator) Edge

func (g Generator) Edge() pitch.WithDegree

func (Generator) Root

func (g Generator) Root() pitch.WithDegree

type Perfection

type Perfection struct {
	Perfection   int
	Imperfection int
}

Perfection stores perfection profile

type Type

type Type int

Type is a type for scale

const (
	Invalid         Type = iota
	Minoric         Type = iota
	Thaptic         Type = iota
	Lothic          Type = iota
	Phratic         Type = iota
	Aerathic        Type = iota
	Epathic         Type = iota
	Mynic           Type = iota
	Rothic          Type = iota
	Eporic          Type = iota
	Zyphic          Type = iota
	Epogic          Type = iota
	Lanic           Type = iota
	Pyrric          Type = iota
	Aeoloric        Type = iota
	Gonic           Type = iota
	Dalic           Type = iota
	Dygic           Type = iota
	Daric           Type = iota
	Lonic           Type = iota
	Phradic         Type = iota
	Bolic           Type = iota
	Saric           Type = iota
	Zoptic          Type = iota
	Aeraphic        Type = iota
	Byptic          Type = iota
	Aeolic          Type = iota
	Koptic          Type = iota
	Mixolyric       Type = iota
	Lydic           Type = iota
	Stathic         Type = iota
	Dadic           Type = iota
	Phrynic         Type = iota
	Epathitonic     Type = iota
	Mynitonic       Type = iota
	Rocritonic      Type = iota
	Pentatonic      Type = iota
	Thaptitonic     Type = iota
	Magitonic       Type = iota
	Daditonic       Type = iota
	Aeolyphritonic  Type = iota
	Gycritonic      Type = iota
	Pyritonic       Type = iota
	Gathitonic      Type = iota
	Ionitonic       Type = iota
	Phrynitonic     Type = iota
	Stathitonic     Type = iota
	Thalitonic      Type = iota
	Zolitonic       Type = iota
	Epogitonic      Type = iota
	Lanitonic       Type = iota
	Paptitonic      Type = iota
	Ionacritonic    Type = iota
	Phraditonic     Type = iota
	Aeoloritonic    Type = iota
	Gonitonic       Type = iota
	Dalitonic       Type = iota
	Dygitonic       Type = iota
	Aeracritonic    Type = iota
	Byptitonic      Type = iota
	Daritonic       Type = iota
	Lonitonic       Type = iota
	Ionycritonic    Type = iota
	Lothitonic      Type = iota
	Phratonic       Type = iota
	Aerathitonic    Type = iota
	Saritonic       Type = iota
	Zoptitonic      Type = iota
	Dolitonic       Type = iota
	Poritonic       Type = iota
	Aerylitonic     Type = iota
	Zagitonic       Type = iota
	Lagitonic       Type = iota
	Molitonic       Type = iota
	Staptitonic     Type = iota
	Mothitonic      Type = iota
	Aeritonic       Type = iota
	Ragitonic       Type = iota
	Ionaditonic     Type = iota
	Bocritonic      Type = iota
	Gythitonic      Type = iota
	Pagitonic       Type = iota
	Aeolythitonic   Type = iota
	Zacritonic      Type = iota
	Laritonic       Type = iota
	Thacritonic     Type = iota
	Styditonic      Type = iota
	Loritonic       Type = iota
	Aeolyritonic    Type = iota
	Goritonic       Type = iota
	Aeoloditonic    Type = iota
	Doptitonic      Type = iota
	Aeraphitonic    Type = iota
	Zathitonic      Type = iota
	Raditonic       Type = iota
	Stonitonic      Type = iota
	Syptitonic      Type = iota
	Ionythitonic    Type = iota
	Aeolanitonic    Type = iota
	Danitonic       Type = iota
	Ionaritonic     Type = iota
	Dynitonic       Type = iota
	Zyditonic       Type = iota
	Aeolacritonic   Type = iota
	Zythitonic      Type = iota
	Dyritonic       Type = iota
	Koptitonic      Type = iota
	Thocritonic     Type = iota
	Lycritonic      Type = iota
	Daptitonic      Type = iota
	Kygitonic       Type = iota
	Mocritonic      Type = iota
	Zynitonic       Type = iota
	Epygitonic      Type = iota
	Zaptitonic      Type = iota
	Kagitonic       Type = iota
	Zogitonic       Type = iota
	Epyritonic      Type = iota
	Zothitonic      Type = iota
	Phrolitonic     Type = iota
	Ionagitonic     Type = iota
	Aeolapritonic   Type = iota
	Kyritonic       Type = iota
	Ionyptitonic    Type = iota
	Gyritonic       Type = iota
	Zalitonic       Type = iota
	Stolitonic      Type = iota
	Bylitonic       Type = iota
	Thoditonic      Type = iota
	Dogitonic       Type = iota
	Phralitonic     Type = iota
	Garitonic       Type = iota
	Soptitonic      Type = iota
	Kataritonic     Type = iota
	Sylitonic       Type = iota
	Thonitonic      Type = iota
	Phropitonic     Type = iota
	Staditonic      Type = iota
	Lyditonic       Type = iota
	Mythitonic      Type = iota
	Sogitonic       Type = iota
	Gothitonic      Type = iota
	Rothitonic      Type = iota
	Zylitonic       Type = iota
	Zoditonic       Type = iota
	Zaritonic       Type = iota
	Phrythitonic    Type = iota
	Rolitonic       Type = iota
	Ranitonic       Type = iota
	Laditonic       Type = iota
	Poditonic       Type = iota
	Ionothitonic    Type = iota
	Kanitonic       Type = iota
	Ryphitonic      Type = iota
	Gylitonic       Type = iota
	Aeolycritonic   Type = iota
	Pynitonic       Type = iota
	Zanitonic       Type = iota
	Phronitonic     Type = iota
	Banitonic       Type = iota
	Aeronitonic     Type = iota
	Golitonic       Type = iota
	Dyptitonic      Type = iota
	Aerynitonic     Type = iota
	Palitonic       Type = iota
	Stothitonic     Type = iota
	Aerophitonic    Type = iota
	Katagitonic     Type = iota
	Ionoditonic     Type = iota
	Bogitonic       Type = iota
	Mogitonic       Type = iota
	Docritonic      Type = iota
	Epaditonic      Type = iota
	Mixitonic       Type = iota
	Phrothitonic    Type = iota
	Katycritonic    Type = iota
	Ionalitonic     Type = iota
	Loptitonic      Type = iota
	Thyritonic      Type = iota
	Thoptitonic     Type = iota
	Bycritonic      Type = iota
	Pathitonic      Type = iota
	Myditonic       Type = iota
	Bolitonic       Type = iota
	Bothitonic      Type = iota
	Kataditonic     Type = iota
	Koditonic       Type = iota
	Tholitonic      Type = iota
	Epathimic       Type = iota
	Mynimic         Type = iota
	Rocrimic        Type = iota
	Eporimic        Type = iota
	Thaptimic       Type = iota
	Lothimic        Type = iota
	Dyrimic         Type = iota
	Koptimic        Type = iota
	Thocrimic       Type = iota
	Aeolanimic      Type = iota
	Danimic         Type = iota
	Ionarimic       Type = iota
	Daptimic        Type = iota
	Kygimic         Type = iota
	Mocrimic        Type = iota
	Zynimic         Type = iota
	Aeolimic        Type = iota
	Zythimic        Type = iota
	Epygimic        Type = iota
	Zaptimic        Type = iota
	Kagimic         Type = iota
	Zogimic         Type = iota
	Epyrimic        Type = iota
	Lycrimic        Type = iota
	Bylimic         Type = iota
	Zothimic        Type = iota
	Phrolimic       Type = iota
	Ionagimic       Type = iota
	Aeolaphimic     Type = iota
	Kycrimic        Type = iota
	Garimic         Type = iota
	Soptimic        Type = iota
	Ionyptimic      Type = iota
	Gyrimic         Type = iota
	Zalimic         Type = iota
	Stolimic        Type = iota
	Thonimic        Type = iota
	Stadimic        Type = iota
	Thodimic        Type = iota
	Mythimic        Type = iota
	Sogimic         Type = iota
	Gogimic         Type = iota
	Rothimic        Type = iota
	Katarimic       Type = iota
	Sylimic         Type = iota
	Mixolimic       Type = iota
	Dadimic         Type = iota
	Aeolyphimic     Type = iota
	Gycrimic        Type = iota
	Pyrimic         Type = iota
	Lydimic         Type = iota
	Ionacrimic      Type = iota
	Gathimic        Type = iota
	Ionynimic       Type = iota
	Phrynimic       Type = iota
	Stathimic       Type = iota
	Thatimic        Type = iota
	Dalimic         Type = iota
	Dygimic         Type = iota
	Zolimic         Type = iota
	Epogimic        Type = iota
	Lanimic         Type = iota
	Paptimic        Type = iota
	Darmic          Type = iota
	Lonimic         Type = iota
	Ionycrimic      Type = iota
	Phradimic       Type = iota
	Aeolorimic      Type = iota
	Gonimic         Type = iota
	Phracrimic      Type = iota
	Aerathimic      Type = iota
	Sarimic         Type = iota
	Zoptimic        Type = iota
	Zeracrimic      Type = iota
	Byptimic        Type = iota
	Starimic        Type = iota
	Phrathimic      Type = iota
	Saptimic        Type = iota
	Aerodimic       Type = iota
	Macrimic        Type = iota
	Rogimic         Type = iota
	Bygimic         Type = iota
	Thycrimic       Type = iota
	Aeoladimic      Type = iota
	Dylimic         Type = iota
	Eponimic        Type = iota
	Katygimic       Type = iota
	Stalimic        Type = iota
	Stoptimic       Type = iota
	Zygimic         Type = iota
	Kataptimic      Type = iota
	Aeolaptimic     Type = iota
	Pothimic        Type = iota
	Rycrimic        Type = iota
	Ronimic         Type = iota
	Stycrimic       Type = iota
	Katorimic       Type = iota
	Epythimic       Type = iota
	Kaptimic        Type = iota
	Katythimic      Type = iota
	Madimic         Type = iota
	Aerygimic       Type = iota
	Pylimic         Type = iota
	Ionathimic      Type = iota
	Morimic         Type = iota
	Aerycrimic      Type = iota
	Ganimic         Type = iota
	Eparimic        Type = iota
	Lyrimic         Type = iota
	Phraptimic      Type = iota
	Bacrimic        Type = iota
	Phralimic       Type = iota
	Phrogimic       Type = iota
	Rathimic        Type = iota
	Katocrimic      Type = iota
	Phryptimic      Type = iota
	Katynimic       Type = iota
	Solimic         Type = iota
	Ionolimic       Type = iota
	Ionophimic      Type = iota
	Aeologimic      Type = iota
	Zadimic         Type = iota
	Sygimic         Type = iota
	Thogimic        Type = iota
	Rythimic        Type = iota
	Donimic         Type = iota
	Aeoloptimic     Type = iota
	Panimic         Type = iota
	Lodimic         Type = iota
	Laptimic        Type = iota
	Lygimic         Type = iota
	Logimic         Type = iota
	Lalimic         Type = iota
	Sothimic        Type = iota
	Phrocrimic      Type = iota
	Modimic         Type = iota
	Barimic         Type = iota
	Poptimic        Type = iota
	Sagimic         Type = iota
	Aelothimic      Type = iota
	Socrimic        Type = iota
	Syrimic         Type = iota
	Stodimic        Type = iota
	Ionocrimic      Type = iota
	Zycrimic        Type = iota
	Ionygimic       Type = iota
	Katathimic      Type = iota
	Bolimic         Type = iota
	Bothimic        Type = iota
	Katadimic       Type = iota
	Kodimic         Type = iota
	Tholimic        Type = iota
	Ralimic         Type = iota
	Kanimic         Type = iota
	Zylimic         Type = iota
	Zodimic         Type = iota
	Zarimic         Type = iota
	Phrythimic      Type = iota
	Rorimic         Type = iota
	Pynimic         Type = iota
	Zanimic         Type = iota
	Ranimic         Type = iota
	Ladimic         Type = iota
	Podimic         Type = iota
	Ionothimic      Type = iota
	Kytrimic        Type = iota
	Golimic         Type = iota
	Dyptimic        Type = iota
	Ryrimic         Type = iota
	Gylimic         Type = iota
	Aeolycrimic     Type = iota
	Palimic         Type = iota
	Stothimic       Type = iota
	Aeronimic       Type = iota
	Katagimic       Type = iota
	Phronimic       Type = iota
	Banimic         Type = iota
	Ionodimic       Type = iota
	Bogimic         Type = iota
	Mogimic         Type = iota
	Docrimic        Type = iota
	Epadimic        Type = iota
	Aerynimic       Type = iota
	Mydimic         Type = iota
	Thyptimic       Type = iota
	Phrothimic      Type = iota
	Katycrimic      Type = iota
	Ionalimic       Type = iota
	Loptimic        Type = iota
	Zagimic         Type = iota
	Lagimic         Type = iota
	Thyrimic        Type = iota
	Thothimic       Type = iota
	Bycrimic        Type = iota
	Pathimic        Type = iota
	Mothimic        Type = iota
	Aeranimic       Type = iota
	Ragimic         Type = iota
	Dolimic         Type = iota
	Porimic         Type = iota
	Aerylimic       Type = iota
	Bocrimic        Type = iota
	Gythimic        Type = iota
	Pagimic         Type = iota
	Aeolythimic     Type = iota
	Molimic         Type = iota
	Staptimic       Type = iota
	Zacrimic        Type = iota
	Larimic         Type = iota
	Thacrimic       Type = iota
	Stydimic        Type = iota
	Lorimic         Type = iota
	Ionadimic       Type = iota
	Ionythimic      Type = iota
	Aerythimic      Type = iota
	Dynimic         Type = iota
	Zydimic         Type = iota
	Zathimic        Type = iota
	Radimic         Type = iota
	Stonimic        Type = iota
	Syptimic        Type = iota
	Ponimic         Type = iota
	Kadimic         Type = iota
	Gynimic         Type = iota
	Thydimic        Type = iota
	Polimic         Type = iota
	Thanimic        Type = iota
	Lathimic        Type = iota
	Aeralimic       Type = iota
	Kynimic         Type = iota
	Stynimic        Type = iota
	Epytimic        Type = iota
	Katoptimic      Type = iota
	Galimic         Type = iota
	Kathimic        Type = iota
	Lylimic         Type = iota
	Epalimic        Type = iota
	Epacrimic       Type = iota
	Sathimic        Type = iota
	Katanimic       Type = iota
	Katyrimic       Type = iota
	Rynimic         Type = iota
	Pogimic         Type = iota
	Aeraptimic      Type = iota
	Epylimic        Type = iota
	Manimic         Type = iota
	Marimic         Type = iota
	Locrimic        Type = iota
	Rylimic         Type = iota
	Epatimic        Type = iota
	Byrimic         Type = iota
	Kocrimic        Type = iota
	Korimic         Type = iota
	Lynimic         Type = iota
	Malimic         Type = iota
	Synimic         Type = iota
	Phragimic       Type = iota
	Mycrimic        Type = iota
	Ionorimic       Type = iota
	Phrydimic       Type = iota
	Zyptimic        Type = iota
	Katothimic      Type = iota
	Phrylimic       Type = iota
	Aerothimic      Type = iota
	Stagimic        Type = iota
	Dorimic         Type = iota
	Phrycrimic      Type = iota
	Kyptimic        Type = iota
	Ionylimic       Type = iota
	Epynimic        Type = iota
	Ionogimic       Type = iota
	Kydimic         Type = iota
	Gaptimic        Type = iota
	Tharimic        Type = iota
	Ionaphimic      Type = iota
	Thoptimic       Type = iota
	Bagimic         Type = iota
	Kyrimic         Type = iota
	Sonimic         Type = iota
	Aeolonimic      Type = iota
	Rygimic         Type = iota
	Thagimic        Type = iota
	Kolimic         Type = iota
	Dycrimic        Type = iota
	Epycrimic       Type = iota
	Gocrimic        Type = iota
	Katolimic       Type = iota
	Dagimic         Type = iota
	Aeolydimic      Type = iota
	Parimic         Type = iota
	Ionaptimic      Type = iota
	Thylimic        Type = iota
	Lolimic         Type = iota
	Thalimic        Type = iota
	Stygimic        Type = iota
	Aeolygimic      Type = iota
	Aerogimic       Type = iota
	Dacrimic        Type = iota
	Baptimic        Type = iota
	Stythimic       Type = iota
	Kothimic        Type = iota
	Pygimic         Type = iota
	Rodimic         Type = iota
	Sorimic         Type = iota
	Monimic         Type = iota
	Aeragimic       Type = iota
	Epothimic       Type = iota
	Salimic         Type = iota
	Lyptimic        Type = iota
	Katonimic       Type = iota
	Gygimic         Type = iota
	Aeradimic       Type = iota
	Zyrimic         Type = iota
	Stylimic        Type = iota
	Lythimic        Type = iota
	Dodimic         Type = iota
	Katalimic       Type = iota
	Boptimic        Type = iota
	Stogimic        Type = iota
	Thynimic        Type = iota
	Aeolathimic     Type = iota
	Bythimic        Type = iota
	Padimic         Type = iota
	Dathimic        Type = iota
	Epagimic        Type = iota
	Raptimic        Type = iota
	Epolimic        Type = iota
	Sythimic        Type = iota
	Sydimic         Type = iota
	Gacrimic        Type = iota
	Borimic         Type = iota
	Sycrimic        Type = iota
	Gadimic         Type = iota
	Aeolocrimic     Type = iota
	Phrygimic       Type = iota
	WholeTone       Type = iota
	Lydian          Type = iota
	Mixolydian      Type = iota
	Aeolian         Type = iota
	Locrian         Type = iota
	Ionian          Type = iota
	Dorian          Type = iota
	Phrygian        Type = iota
	Ionythian       Type = iota
	Aeolyrian       Type = iota
	Gorian          Type = iota
	Aeolodian       Type = iota
	Doptian         Type = iota
	Aeraphian       Type = iota
	Zacrian         Type = iota
	Ionarian        Type = iota
	Dynian          Type = iota
	Zydian          Type = iota
	Zathian         Type = iota
	Radian          Type = iota
	Stonian         Type = iota
	Syptian         Type = iota
	Aeolacrian      Type = iota
	Zythian         Type = iota
	Dyrian          Type = iota
	Koptian         Type = iota
	Thocrian        Type = iota
	Aeolanian       Type = iota
	Danian          Type = iota
	Zogian          Type = iota
	Epyrian         Type = iota
	Lycrian         Type = iota
	Daptian         Type = iota
	Kygian          Type = iota
	Mocrian         Type = iota
	Zynian          Type = iota
	Phrolian        Type = iota
	Ionagian        Type = iota
	Aeodian         Type = iota
	Kycrian         Type = iota
	Epygian         Type = iota
	Zaptian         Type = iota
	Kagian          Type = iota
	Soptian         Type = iota
	Ionyptian       Type = iota
	Gyrian          Type = iota
	Zalian          Type = iota
	Stolian         Type = iota
	Bylian          Type = iota
	Zothian         Type = iota
	Thonian         Type = iota
	Phrorian        Type = iota
	Stadian         Type = iota
	Thodian         Type = iota
	Dogian          Type = iota
	Mixopyrian      Type = iota
	Garian          Type = iota
	Epathian        Type = iota
	Mythian         Type = iota
	Sogian          Type = iota
	Gogian          Type = iota
	Rothian         Type = iota
	Katarian        Type = iota
	Stylian         Type = iota
	Stathian        Type = iota
	Mixonyphian     Type = iota
	Magian          Type = iota
	Dadian          Type = iota
	Aeolylian       Type = iota
	Gycrian         Type = iota
	Pyrian          Type = iota
	Epogian         Type = iota
	Lanian          Type = iota
	Paptian         Type = iota
	Ionacrian       Type = iota
	Gathian         Type = iota
	Ionyphian       Type = iota
	Phrynian        Type = iota
	Ionycrian       Type = iota
	Phradian        Type = iota
	Aeolorian       Type = iota
	Gonian          Type = iota
	Dalian          Type = iota
	Dygian          Type = iota
	Zolian          Type = iota
	Aerathian       Type = iota
	Sarian          Type = iota
	Zoptian         Type = iota
	Aeracrian       Type = iota
	Byptian         Type = iota
	Darian          Type = iota
	Lonian          Type = iota
	Aeopian         Type = iota
	Rygian          Type = iota
	Epynian         Type = iota
	Ionogian        Type = iota
	Kydian          Type = iota
	Gaptian         Type = iota
	Tharian         Type = iota
	Epycrian        Type = iota
	Gocrian         Type = iota
	Katolian        Type = iota
	Thoptian        Type = iota
	Bagian          Type = iota
	Kyrian          Type = iota
	Sonian          Type = iota
	Parian          Type = iota
	Ionaptian       Type = iota
	Thylian         Type = iota
	Lolian          Type = iota
	Thagian         Type = iota
	Kolian          Type = iota
	Dycrian         Type = iota
	Stygian         Type = iota
	Aeolygian       Type = iota
	Aerogian        Type = iota
	Dacrian         Type = iota
	Baptian         Type = iota
	Dagian          Type = iota
	Aeolydian       Type = iota
	Stythian        Type = iota
	Kothian         Type = iota
	Pygian          Type = iota
	Rodian          Type = iota
	Sorian          Type = iota
	Monian          Type = iota
	Thalian         Type = iota
	Zorian          Type = iota
	Aeragian        Type = iota
	Epothian        Type = iota
	Salian          Type = iota
	Lyptian         Type = iota
	Katonian        Type = iota
	Gyphian         Type = iota
	Thacrian        Type = iota
	Dodian          Type = iota
	Aeolyptian      Type = iota
	Aeolonian       Type = iota
	Aeradian        Type = iota
	Aeolagian       Type = iota
	Zyrian          Type = iota
	Aeolathian      Type = iota
	Bythian         Type = iota
	Padian          Type = iota
	Rolian          Type = iota
	Pydian          Type = iota
	Thygian         Type = iota
	Katalian        Type = iota
	Saptian         Type = iota
	Aerodian        Type = iota
	Macrian         Type = iota
	Rogian          Type = iota
	Boptian         Type = iota
	Stogian         Type = iota
	Thynian         Type = iota
	Thycrian        Type = iota
	Aeoladian       Type = iota
	Dylian          Type = iota
	Eponian         Type = iota
	Katygian        Type = iota
	Starian         Type = iota
	Phrathian       Type = iota
	Stalian         Type = iota
	Stoptian        Type = iota
	Zygian          Type = iota
	Kataptian       Type = iota
	Aeolaptian      Type = iota
	Pothian         Type = iota
	Bygian          Type = iota
	Morian          Type = iota
	Rycrian         Type = iota
	Ronian          Type = iota
	Stycrian        Type = iota
	Katorian        Type = iota
	Epythian        Type = iota
	Kaptian         Type = iota
	Phraptian       Type = iota
	Bacrian         Type = iota
	Katythian       Type = iota
	Madian          Type = iota
	Aerygian        Type = iota
	Pylian          Type = iota
	Ionathian       Type = iota
	Katocrian       Type = iota
	Phryptian       Type = iota
	Katynian        Type = iota
	Aerycrian       Type = iota
	Ganian          Type = iota
	Eparian         Type = iota
	Lyrian          Type = iota
	Ionopian        Type = iota
	Aeologian       Type = iota
	Zadian          Type = iota
	Sygian          Type = iota
	Phralian        Type = iota
	Phrogian        Type = iota
	Rathian         Type = iota
	Rythian         Type = iota
	Donian          Type = iota
	Aeoloptian      Type = iota
	Panian          Type = iota
	Lodian          Type = iota
	Solian          Type = iota
	Ionolian        Type = iota
	Laptian         Type = iota
	Lygian          Type = iota
	Logian          Type = iota
	Lalian          Type = iota
	Sothian         Type = iota
	Phrocrian       Type = iota
	Thogian         Type = iota
	Katathian       Type = iota
	Modian          Type = iota
	Barian          Type = iota
	Mixolocrian     Type = iota
	Sagian          Type = iota
	Aeolothian      Type = iota
	Socrian         Type = iota
	Tholian         Type = iota
	Ralian          Type = iota
	Syrian          Type = iota
	Stodian         Type = iota
	Ionocrian       Type = iota
	Zycrian         Type = iota
	Ionygian        Type = iota
	Zarian          Type = iota
	Phrythian       Type = iota
	Rorian          Type = iota
	Bolian          Type = iota
	Bothian         Type = iota
	Katadian        Type = iota
	Kodian          Type = iota
	Ranian          Type = iota
	Ladian          Type = iota
	Podian          Type = iota
	Ionothian       Type = iota
	Kanian          Type = iota
	Zylian          Type = iota
	Zodian          Type = iota
	Golian          Type = iota
	Dyptian         Type = iota
	Ryphian         Type = iota
	Gylian          Type = iota
	Aeolycrian      Type = iota
	Pynian          Type = iota
	Zanian          Type = iota
	Palian          Type = iota
	Stothian        Type = iota
	Aerorian        Type = iota
	Katagian        Type = iota
	Phronian        Type = iota
	Banian          Type = iota
	Aeronian        Type = iota
	Loptian         Type = iota
	Ionodian        Type = iota
	Bogian          Type = iota
	Mogian          Type = iota
	Docrian         Type = iota
	Epadian         Type = iota
	Aerynian        Type = iota
	Bycrian         Type = iota
	Pathian         Type = iota
	Mydian          Type = iota
	Thyptian        Type = iota
	Phrothian       Type = iota
	Katycrian       Type = iota
	Ionalian        Type = iota
	Dolian          Type = iota
	Porian          Type = iota
	Aerylian        Type = iota
	Zagian          Type = iota
	Lagian          Type = iota
	Tyrian          Type = iota
	Mixonorian      Type = iota
	Pagian          Type = iota
	Aeolythian      Type = iota
	Molian          Type = iota
	Staptian        Type = iota
	Mothian         Type = iota
	Aeranian        Type = iota
	Ragian          Type = iota
	Larian          Type = iota
	Lythian         Type = iota
	Stydian         Type = iota
	Lorian          Type = iota
	Ionadian        Type = iota
	Bocrian         Type = iota
	Mixolythian     Type = iota
	Thadian         Type = iota
	Sanian          Type = iota
	Ionydian        Type = iota
	Epydian         Type = iota
	Katydian        Type = iota
	Mathian         Type = iota
	Aeryptian       Type = iota
	Pythian         Type = iota
	Katylian        Type = iota
	Bydian          Type = iota
	Bynian          Type = iota
	Galian          Type = iota
	Zonian          Type = iota
	Myrian          Type = iota
	Katogian        Type = iota
	Stacrian        Type = iota
	Styrian         Type = iota
	Ionyrian        Type = iota
	Phrodian        Type = iota
	Pycrian         Type = iota
	Gyptian         Type = iota
	Katacrian       Type = iota
	Sodian          Type = iota
	Bathian         Type = iota
	Mylian          Type = iota
	Godian          Type = iota
	Thorian         Type = iota
	Zocrian         Type = iota
	Stanian         Type = iota
	Epanian         Type = iota
	Konian          Type = iota
	Stocrian        Type = iota
	Kalian          Type = iota
	Phroptian       Type = iota
	Dydian          Type = iota
	Katyptian       Type = iota
	Epodian         Type = iota
	Mygian          Type = iota
	Pacrian         Type = iota
	Aerocrian       Type = iota
	Aeolarian       Type = iota
	Kythian         Type = iota
	Bonian          Type = iota
	Badian          Type = iota
	Katodian        Type = iota
	Sadian          Type = iota
	Dothian         Type = iota
	Moptian         Type = iota
	Aeryrian        Type = iota
	Epagian         Type = iota
	Raptian         Type = iota
	Epolian         Type = iota
	Sythian         Type = iota
	Sydian          Type = iota
	Epocrian        Type = iota
	Kylian          Type = iota
	Gacrian         Type = iota
	Borian          Type = iota
	Sycrian         Type = iota
	Gadian          Type = iota
	Aeolocrian      Type = iota
	Mixodorian      Type = iota
	Dathian         Type = iota
	Katoptian       Type = iota
	Ponian          Type = iota
	Kadian          Type = iota
	Gynian          Type = iota
	Thyphian        Type = iota
	Polian          Type = iota
	Thanian         Type = iota
	Epacrian        Type = iota
	Sathian         Type = iota
	Lathian         Type = iota
	Aeralian        Type = iota
	Kynian          Type = iota
	Stynian         Type = iota
	Epyphian        Type = iota
	Pogian          Type = iota
	Aeraptian       Type = iota
	Epylian         Type = iota
	Gamian          Type = iota
	Kathian         Type = iota
	Lylian          Type = iota
	Epalian         Type = iota
	Eporian         Type = iota
	Rylian          Type = iota
	Epaptian        Type = iota
	Byrian          Type = iota
	Katanian        Type = iota
	Katyrian        Type = iota
	Rynian          Type = iota
	Korian          Type = iota
	Lynian          Type = iota
	Malian          Type = iota
	Synian          Type = iota
	Phragian        Type = iota
	Manian          Type = iota
	Marian          Type = iota
	Mycrian         Type = iota
	Ionorian        Type = iota
	Phrydian        Type = iota
	Zyptian         Type = iota
	Katothian       Type = iota
	Phrylian        Type = iota
	Kocrian         Type = iota
	Ionanian        Type = iota
	Aerothian       Type = iota
	Stagian         Type = iota
	Lothian         Type = iota
	Phrycrian       Type = iota
	Kyptian         Type = iota
	Ionylian        Type = iota
	Gydian          Type = iota
	Kogian          Type = iota
	Rarian          Type = iota
	Aerolian        Type = iota
	Karian          Type = iota
	Myptian         Type = iota
	Rydian          Type = iota
	Aeolynian       Type = iota
	Aeroptian       Type = iota
	Phryrian        Type = iota
	Gothian         Type = iota
	Storian         Type = iota
	Pyptian         Type = iota
	Thydian         Type = iota
	Aerycryllic     Type = iota
	Gadyllic        Type = iota
	Solyllic        Type = iota
	Zylyllic        Type = iota
	Mixodyllic      Type = iota
	Soryllic        Type = iota
	Godyllic        Type = iota
	Epiphyllic      Type = iota
	Pynyllic        Type = iota
	Bocryllic       Type = iota
	Kogyllic        Type = iota
	Raryllic        Type = iota
	Zycryllic       Type = iota
	Mycryllic       Type = iota
	Laptyllic       Type = iota
	Pylyllic        Type = iota
	Pothyllic       Type = iota
	Phronyllic      Type = iota
	Stynyllic       Type = iota
	Rathyllic       Type = iota
	Aeryptyllic     Type = iota
	Zydyllic        Type = iota
	Katolyllic      Type = iota
	Rythyllic       Type = iota
	Locryllic       Type = iota
	Bylyllic        Type = iota
	Sogyllic        Type = iota
	Ionycryllic     Type = iota
	Koptyllic       Type = iota
	Epyryllic       Type = iota
	Soptyllic       Type = iota
	Aeolylyllic     Type = iota
	Aeracryllic     Type = iota
	Epygyllic       Type = iota
	Thonyllic       Type = iota
	Lanyllic        Type = iota
	Phrynyllic      Type = iota
	Lycryllic       Type = iota
	Ionyptyllic     Type = iota
	Epathyllic      Type = iota
	Dydyllic        Type = iota
	Thogyllic       Type = iota
	Rygyllic        Type = iota
	Bycryllic       Type = iota
	Zacryllic       Type = iota
	Panyllic        Type = iota
	Dyryllic        Type = iota
	Zathyllic       Type = iota
	Dagyllic        Type = iota
	Katalyllic      Type = iota
	Katoryllic      Type = iota
	Dodyllic        Type = iota
	Zogyllic        Type = iota
	Madyllic        Type = iota
	Dycryllic       Type = iota
	Aeologyllic     Type = iota
	Sydyllic        Type = iota
	Katogyllic      Type = iota
	Zygyllic        Type = iota
	Aeralyllic      Type = iota
	Bacryllic       Type = iota
	Aerygyllic      Type = iota
	Dathyllic       Type = iota
	Boptyllic       Type = iota
	Bagyllic        Type = iota
	Mathyllic       Type = iota
	Styptyllic      Type = iota
	Zolyllic        Type = iota
	Rocryllic       Type = iota
	Zyryllic        Type = iota
	Sagyllic        Type = iota
	Epinyllic       Type = iota
	Katagyllic      Type = iota
	Ragyllic        Type = iota
	Gothyllic       Type = iota
	Lythyllic       Type = iota
	Ionocryllic     Type = iota
	Gocryllic       Type = iota
	Epiryllic       Type = iota
	Aeradyllic      Type = iota
	Staptyllic      Type = iota
	Danyllic        Type = iota
	Goptyllic       Type = iota
	Epocryllic      Type = iota
	Ionoptyllic     Type = iota
	Aeoloryllic     Type = iota
	Thydyllic       Type = iota
	Gycryllic       Type = iota
	Lyryllic        Type = iota
	Mogyllic        Type = iota
	Katodyllic      Type = iota
	Moptyllic       Type = iota
	Dolyllic        Type = iota
	Moryllic        Type = iota
	Bydyllic        Type = iota
	Pocryllic       Type = iota
	Phracryllic     Type = iota
	Gyryllic        Type = iota
	Phrygyllic      Type = iota
	Dogyllic        Type = iota
	Thagyllic       Type = iota
	Thoptyllic      Type = iota
	Phraptyllic     Type = iota
	Gylyllic        Type = iota
	Phralyllic      Type = iota
	Dygyllic        Type = iota
	Ronyllic        Type = iota
	Epogyllic       Type = iota
	Aeoladyllic     Type = iota
	Kocryllic       Type = iota
	Lodyllic        Type = iota
	Bynyllic        Type = iota
	Kydyllic        Type = iota
	Bygyllic        Type = iota
	Phryptyllic     Type = iota
	Ionayllic       Type = iota
	Phroryllic      Type = iota
	Thyphyllic      Type = iota
	Poptyllic       Type = iota
	Mixonyllic      Type = iota
	Paptyllic       Type = iota
	Storyllic       Type = iota
	Phrycryllic     Type = iota
	Palyllic        Type = iota
	Phranyllic      Type = iota
	Stydyllic       Type = iota
	Zadyllic        Type = iota
	Zalyllic        Type = iota
	Zocryllic       Type = iota
	Katocryllic     Type = iota
	Aerathyllic     Type = iota
	Stoptyllic      Type = iota
	Lydyllic        Type = iota
	Radyllic        Type = iota
	Stagyllic       Type = iota
	Ionoryllic      Type = iota
	Phrodyllic      Type = iota
	Aeragyllic      Type = iota
	Banyllic        Type = iota
	Epothyllic      Type = iota
	Zoryllic        Type = iota
	Phrolyllic      Type = iota
	Kolyllic        Type = iota
	Thodyllic       Type = iota
	Socryllic       Type = iota
	Aeolyllic       Type = iota
	Zythyllic       Type = iota
	Aeoryllic       Type = iota
	Mixolydyllic    Type = iota
	Mixonyphyllic   Type = iota
	Aeolanyllic     Type = iota
	Thocryllic      Type = iota
	Kygyllic        Type = iota
	Ionagyllic      Type = iota
	Gogyllic        Type = iota
	Phradyllic      Type = iota
	Ioniptyllic     Type = iota
	Kycryllic       Type = iota
	Aeolaptyllic    Type = iota
	Rodyllic        Type = iota
	Ionathyllic     Type = iota
	Pythyllic       Type = iota
	Zonyllic        Type = iota
	Ryryllic        Type = iota
	Aeolothyllic    Type = iota
	Ionyryllic      Type = iota
	Rydyllic        Type = iota
	Gonyllic        Type = iota
	Rolyllic        Type = iota
	Katydyllic      Type = iota
	Zyptyllic       Type = iota
	Modyllic        Type = iota
	Maptyllic       Type = iota
	Aeraptyllic     Type = iota
	Katadyllic      Type = iota
	Magyllic        Type = iota
	Phrylyllic      Type = iota
	Epigyllic       Type = iota
	Molyllic        Type = iota
	Ponyllic        Type = iota
	Thyptyllic      Type = iota
	Ionogyllic      Type = iota
	Aeolaryllic     Type = iota
	Katygyllic      Type = iota
	Ganyllic        Type = iota
	Kyptyllic       Type = iota
	Salyllic        Type = iota
	Sanyllic        Type = iota
	Doptyllic       Type = iota
	Ionilyllic      Type = iota
	Manyllic        Type = iota
	Polyllic        Type = iota
	Stanyllic       Type = iota
	Mixotharyllic   Type = iota
	Eporyllic       Type = iota
	Aerynyllic      Type = iota
	Lonyllic        Type = iota
	Sathyllic       Type = iota
	Layllic         Type = iota
	Saryllic        Type = iota
	Thacryllic      Type = iota
	Aeolynyllic     Type = iota
	Thadyllic       Type = iota
	Lynyllic        Type = iota
	Aeolathyllic    Type = iota
	Aeolocryllic    Type = iota
	Phroptyllic     Type = iota
	Kodyllic        Type = iota
	Epaptyllic      Type = iota
	Ionoyllic       Type = iota
	Gyptyllic       Type = iota
	Aerythyllic     Type = iota
	Zagyllic        Type = iota
	Epacryllic      Type = iota
	Thorcryllic     Type = iota
	Loptyllic       Type = iota
	Katylyllic      Type = iota
	Malyllic        Type = iota
	Mydyllic        Type = iota
	Thycryllic      Type = iota
	Gythyllic       Type = iota
	Pyryllic        Type = iota
	Rycryllic       Type = iota
	Phrathyllic     Type = iota
	Badyllic        Type = iota
	Phrocryllic     Type = iota
	Staryllic       Type = iota
	Zothyllic       Type = iota
	Tharyllic       Type = iota
	Sylyllic        Type = iota
	Lothyllic       Type = iota
	Daryllic        Type = iota
	Monyllic        Type = iota
	Styryllic       Type = iota
	Aeolacryllic    Type = iota
	Raptyllic       Type = iota
	Kataryllic      Type = iota
	Aerocryllic     Type = iota
	Zanyllic        Type = iota
	Aeolonyllic     Type = iota
	Aeonyllic       Type = iota
	Kyryllic        Type = iota
	Sythyllic       Type = iota
	Katycryllic     Type = iota
	Stogyllic       Type = iota
	Ionidyllic      Type = iota
	Stonyllic       Type = iota
	Stalyllic       Type = iota
	Poryllic        Type = iota
	Mocryllic       Type = iota
	Aeolyryllic     Type = iota
	Baryllic        Type = iota
	Dalyllic        Type = iota
	Ionyphyllic     Type = iota
	Zaptyllic       Type = iota
	Garyllic        Type = iota
	Gathyllic       Type = iota
	Mixopyryllic    Type = iota
	Ionacryllic     Type = iota
	Stylyllic       Type = iota
	Stycryllic      Type = iota
	Ionothyllic     Type = iota
	Mythyllic       Type = iota
	Aerylyllic      Type = iota
	Bonyllic        Type = iota
	Tholyllic       Type = iota
	Katyryllic      Type = iota
	Sadyllic        Type = iota
	Stolyllic       Type = iota
	Logyllic        Type = iota
	Dacryllic       Type = iota
	Thynyllic       Type = iota
	Gydyllic        Type = iota
	Eparyllic       Type = iota
	Dynyllic        Type = iota
	Ionyllic        Type = iota
	Zaryllic        Type = iota
	Dythyllic       Type = iota
	Ionaryllic      Type = iota
	Laryllic        Type = iota
	Kataptyllic     Type = iota
	Sonyllic        Type = iota
	Pathyllic       Type = iota
	Loryllic        Type = iota
	Aeronyllic      Type = iota
	Pycryllic       Type = iota
	Mygyllic        Type = iota
	Lylyllic        Type = iota
	Daptyllic       Type = iota
	Ioninyllic      Type = iota
	Epaphyllic      Type = iota
	Lolyllic        Type = iota
	Stacryllic      Type = iota
	Doryllic        Type = iota
	Kadyllic        Type = iota
	Rynyllic        Type = iota
	Aerogyllic      Type = iota
	Rothyllic       Type = iota
	Kagyllic        Type = iota
	Stathyllic      Type = iota
	Thyryllic       Type = iota
	Gygyllic        Type = iota
	Sodyllic        Type = iota
	Goryllic        Type = iota
	Bothyllic       Type = iota
	Gynyllic        Type = iota
	Ionaptyllic     Type = iota
	Phryryllic      Type = iota
	Racryllic       Type = iota
	Epicryllic      Type = iota
	Stygyllic       Type = iota
	Syryllic        Type = iota
	Stythyllic      Type = iota
	Aerothyllic     Type = iota
	Mixoryllic      Type = iota
	Thanyllic       Type = iota
	Roryllic        Type = iota
	Epotyllic       Type = iota
	Epidyllic       Type = iota
	Kaptyllic       Type = iota
	MajorDiminished Type = iota
	MinorDiminished Type = iota
	Aerycrygic      Type = iota
	Gadygic         Type = iota
	Solygic         Type = iota
	Zylygic         Type = iota
	Garygic         Type = iota
	Sorygic         Type = iota
	Godygic         Type = iota
	Epithygic       Type = iota
	Ionoptygic      Type = iota
	Kalygic         Type = iota
	Ionodygic       Type = iota
	Bythygic        Type = iota
	Epygic          Type = iota
	Marygic         Type = iota
	Gaptygic        Type = iota
	Aeroptygic      Type = iota
	Mylygic         Type = iota
	Galygic         Type = iota
	Mixolydygic     Type = iota
	Ionycrygic      Type = iota
	Zoptygic        Type = iota
	Phrygygic       Type = iota
	Locrygic        Type = iota
	Gonygic         Type = iota
	Aeracrygic      Type = iota
	Aerathygic      Type = iota
	Dorygic         Type = iota
	Dycrygic        Type = iota
	Aeolygic        Type = iota
	Dydygic         Type = iota
	Tholygic        Type = iota
	Rynygic         Type = iota
	Bycrygic        Type = iota
	Zacrygic        Type = iota
	Panygic         Type = iota
	Dyrygic         Type = iota
	Loptygic        Type = iota
	Katylygic       Type = iota
	Phradygic       Type = iota
	Mixodygic       Type = iota
	Katalygic       Type = iota
	Katorygic       Type = iota
	Dogygic         Type = iota
	Zodygic         Type = iota
	Madygic         Type = iota
	Bagygic         Type = iota
	Mathygic        Type = iota
	Styptygic       Type = iota
	Zolygic         Type = iota
	Sydygic         Type = iota
	Katygic         Type = iota
	Zyphygic        Type = iota
	Aeralygic       Type = iota
	Ryptygic        Type = iota
	Apinygic        Type = iota
	Katagygic       Type = iota
	Radygic         Type = iota
	Gothygic        Type = iota
	Lythygic        Type = iota
	Bacrygic        Type = iota
	Aerygic         Type = iota
	Dathygic        Type = iota
	Boptygic        Type = iota
	Epyrygic        Type = iota
	Aeradygic       Type = iota
	Staptygic       Type = iota
	Danygic         Type = iota
	Goptygic        Type = iota
	Epocrygic       Type = iota
	Rocrygic        Type = iota
	Zyrygic         Type = iota
	Sadygic         Type = iota
	Aeolorygic      Type = iota
	Thydygic        Type = iota
	Gycrygic        Type = iota
	Lyrygic         Type = iota
	Modygic         Type = iota
	Katodygic       Type = iota
	Moptygic        Type = iota
	Ionocrygic      Type = iota
	Gocrygic        Type = iota
	Manygic         Type = iota
	Polygic         Type = iota
	Stanygic        Type = iota
	Thaptygic       Type = iota
	Eporygic        Type = iota
	Aerynygic       Type = iota
	Thyptygic       Type = iota
	Ionogygic       Type = iota
	Aeolarygic      Type = iota
	Sathygic        Type = iota
	Ladygic         Type = iota
	Sarygic         Type = iota
	Thacrygic       Type = iota
	Aeolynygic      Type = iota
	Thadygic        Type = iota
	Lynygic         Type = iota
	Doptygic        Type = iota
	Ionilygic       Type = iota
	Phrygic         Type = iota
	Aeranygic       Type = iota
	Dothygic        Type = iota
	Lydygic         Type = iota
	Stadygic        Type = iota
	Byptygic        Type = iota
	Stodygic        Type = iota
	Zynygic         Type = iota
	Lonygic         Type = iota
	Zothygic        Type = iota
	Aeolathygic     Type = iota
	Aeolocrygic     Type = iota
	Phroptygic      Type = iota
	Kodygic         Type = iota
	Eparygic        Type = iota
	Ionygic         Type = iota
	Gyptygic        Type = iota
	Aerythygic      Type = iota
	Aeolacrygic     Type = iota
	Raptygic        Type = iota
	Gythygic        Type = iota
	Pyrygic         Type = iota
	Rycrygic        Type = iota
	Phrathygic      Type = iota
	Badygic         Type = iota
	Phrocrygic      Type = iota
	Starygic        Type = iota
	Kyrygic         Type = iota
	Sythygic        Type = iota
	Katycrygic      Type = iota
	Tharygic        Type = iota
	Sylygic         Type = iota
	Lothygic        Type = iota
	Darygic         Type = iota
	Monygic         Type = iota
	Styrygic        Type = iota
	Porygic         Type = iota
	Mocrygic        Type = iota
	Aeolyrygic      Type = iota
	Barygic         Type = iota
	Katarygic       Type = iota
	Aerocrygic      Type = iota
	Zanygic         Type = iota
	Aeolonygic      Type = iota
	Aeolanygic      Type = iota
	Kaptygic        Type = iota
	Sacrygic        Type = iota
	Padygic         Type = iota
	Epilygic        Type = iota
	Kynygic         Type = iota
	Stophygic       Type = iota
	Ionidygic       Type = iota
	Stonygic        Type = iota
	Stalygic        Type = iota
	Koptygic        Type = iota
	Raphygic        Type = iota
	Zycrygic        Type = iota
	Mycrygic        Type = iota
	Laptygic        Type = iota
	Pylygic         Type = iota
	Rodygic         Type = iota
	Epolygic        Type = iota
	Epidygic        Type = iota
	Phronygic       Type = iota
	Stynygic        Type = iota
	Zydygic         Type = iota
	Aerycryllian    Type = iota
	Gadyllian       Type = iota
	Solyllian       Type = iota
	Zyphyllian      Type = iota
	Garyllian       Type = iota
	Soryllian       Type = iota
	Godyllian       Type = iota
	Epityllian      Type = iota
	Ionyllian       Type = iota
	Aeoryllian      Type = iota
	Katoryllian     Type = iota
	Dodyllian       Type = iota
	Zogyllian       Type = iota
	Madyllian       Type = iota
	Dycryllian      Type = iota
	Aeogyllian      Type = iota
	Dydyllian       Type = iota
	Thogyllian      Type = iota
	Rygyllian       Type = iota
	Bathyllian      Type = iota
	Sydyllian       Type = iota
	Katogyllian     Type = iota
	Mixodyllian     Type = iota
	Aeradyllian     Type = iota
	Ryptyllian      Type = iota
	Loptyllian      Type = iota
	Kataphyllian    Type = iota
	Phradyllian     Type = iota
	Dagyllian       Type = iota
	Katyllian       Type = iota
	Gothyllian      Type = iota
	Lythyllian      Type = iota
	Bacryllian      Type = iota
	Aerygyllian     Type = iota
	Dathyllian      Type = iota
	Boptyllian      Type = iota
	Bagyllian       Type = iota
	Mathyllian      Type = iota
	Styptyllian     Type = iota
	Zolyllian       Type = iota
	Staptyllian     Type = iota
	Danyllian       Type = iota
	Goptyllian      Type = iota
	Epocryllian     Type = iota
	Rocryllian      Type = iota
	Zyryllian       Type = iota
	Sagyllian       Type = iota
	Epinyllian      Type = iota
	Katagyllian     Type = iota
	Ragyllian       Type = iota
	Thydyllian      Type = iota
	Epiryllian      Type = iota
	Lyryllian       Type = iota
	Mogyllian       Type = iota
	Katodyllian     Type = iota
	Aerycratic      Type = iota
	Monatic         Type = iota
	Solatic         Type = iota
	Zylatic         Type = iota
	Mixolatic       Type = iota
	Soratic         Type = iota
	Godatic         Type = iota
	Eptatic         Type = iota
	Ionatic         Type = iota
	Aeolatic        Type = iota
	Thydatic        Type = iota
	Chromatic       Type = iota
)

Scale name enumerations

func AllScales

func AllScales() []Type

AllScales return all scales

func FromInt

func FromInt(num int) Type

FromInt returns scale from integer

func FromRingNumber

func FromRingNumber(n int) Type

func FromZeitlerNumber

func FromZeitlerNumber(n int) Type

func (Type) Balanced

func (s Type) Balanced() bool

Balanced returns true when scale is balanced

func (Type) Cardinality

func (s Type) Cardinality() int

Cardinality returns scale cardinality

func (Type) CenterOfGravity

func (s Type) CenterOfGravity(tonic pitch.Type) (float64, float64)

CenterOfGravity returns scale

func (Type) FifthGeneratorRoot

func (s Type) FifthGeneratorRoot() Generator

FifthGeneratorRoot returns a pitch and degree where the scale can be generated by fetching the next fifth, assuming scale stars with C

func (Type) FifthGeneratorRootWithTonic

func (s Type) FifthGeneratorRootWithTonic(tonic pitch.Type) Generator

FifthGeneratorRootWithTonic returns a pitch and degree where the scale can be generated by fetching the next fifth with custom tonic

func (Type) IntervalPattern

func (s Type) IntervalPattern() []int

IntervalPattern returns scale interval pattern in semitones

func (Type) Number

func (s Type) Number() int

Number return scale number

func (Type) Palindromic

func (s Type) Palindromic() bool

Palindromic returns true when scale is reflective symmetric at it's root

func (Type) Perfection

func (s Type) Perfection() Perfection

Perfection return perfection profile

func (Type) PitchClass

func (s Type) PitchClass() []int

PitchClass returns scale pitch class where 0 is CNatural all the way to 11 (BNatural)

func (Type) PitchFlags

func (s Type) PitchFlags() []bool

PitchFlags returns a slice of positional pitch status, from CNatural to BNatural

func (Type) Pitches

func (s Type) Pitches(tonic pitch.Type) []pitch.Type

Pitches returns set of pitches of the scale with given tonic

func (Type) ReflectiveSymmetric

func (s Type) ReflectiveSymmetric() bool

ReflectiveSymmetric returns true when scale is reflective symmetric

func (Type) ReflectiveSymmetryAxes

func (s Type) ReflectiveSymmetryAxes() []int

ReflectiveSymmetryAxes returns axes where the scale is reflective symmetric

func (Type) RingNumber

func (s Type) RingNumber() int

RingNumber return scale numbering according to Ian Ring's numbering system

func (Type) RotationalSymmetric

func (s Type) RotationalSymmetric() bool

RotationalSymmetric returns true when each note has its tritone

func (Type) RotationalSymmetryLevel

func (s Type) RotationalSymmetryLevel() int

RotationalSymmetryLevel returns number of semitone to the next symmetry

func (Type) String

func (s Type) String() string

String returns scale name

func (Type) ZeitlerNumber

func (s Type) ZeitlerNumber() int

ZeitlerNumber return scale number according to William Zeitler's numbering system