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Scale 2787: "Zyrian"

Scale 2787: Zyrian, Ian Ring Music Theory

Common Names

Zeitler
Zyrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,7,9,11}
Forte Number7-15
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 471
Deep Scaleno
Interval Vector442443
Interval Spectrump4m4n2s4d4t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[6]
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2787 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3441
Scale 3441: Thacrian, Ian Ring Music TheoryThacrian
3rd mode:
Scale 471
Scale 471: Dodian, Ian Ring Music TheoryDodianThis is the prime mode
4th mode:
Scale 2283
Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
5th mode:
Scale 3189
Scale 3189: Aeolonian, Ian Ring Music TheoryAeolonian
6th mode:
Scale 1821
Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
7th mode:
Scale 1479
Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava

Prime

The prime form of this scale is Scale 471

Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian

Complement

The heptatonic modal family [2787, 3441, 471, 2283, 3189, 1821, 1479] (Forte: 7-15) is the complement of the pentatonic modal family [327, 453, 1137, 2211, 3153] (Forte: 5-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2787 is 2283

Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian

Transformations:

T0 2787  T0I 2283
T1 1479  T1I 471
T2 2958  T2I 942
T3 1821  T3I 1884
T4 3642  T4I 3768
T5 3189  T5I 3441
T6 2283  T6I 2787
T7 471  T7I 1479
T8 942  T8I 2958
T9 1884  T9I 1821
T10 3768  T10I 3642
T11 3441  T11I 3189

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 2785Scale 2785, Ian Ring Music Theory
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 3299Scale 3299: Syptian, Ian Ring Music TheorySyptian
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian

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