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Scale 1575: "Zycrimic"

Scale 1575: Zycrimic, Ian Ring Music Theory

Common Names

Zeitler
Zycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,5,9,10}
Forte Number6-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3213
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 315
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1575 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2835
Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
3rd mode:
Scale 3465
Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
4th mode:
Scale 945
Scale 945: Raga Saravati, Ian Ring Music TheoryRaga Saravati
5th mode:
Scale 315
Scale 315: Stodimic, Ian Ring Music TheoryStodimicThis is the prime mode
6th mode:
Scale 2205
Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic

Prime

The prime form of this scale is Scale 315

Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic

Complement

The hexatonic modal family [1575, 2835, 3465, 945, 315, 2205] (Forte: 6-14) is the complement of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465] (Forte: 6-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1575 is 3213

Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1575 is chiral, and its enantiomorph is scale 3213

Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic

Transformations:

T0 1575  T0I 3213
T1 3150  T1I 2331
T2 2205  T2I 567
T3 315  T3I 1134
T4 630  T4I 2268
T5 1260  T5I 441
T6 2520  T6I 882
T7 945  T7I 1764
T8 1890  T8I 3528
T9 3780  T9I 2961
T10 3465  T10I 1827
T11 2835  T11I 3654

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1543Scale 1543, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1831Scale 1831: Pothian, Ian Ring Music TheoryPothian
Scale 1063Scale 1063, Ian Ring Music Theory
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic
Scale 551Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography