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Scale 729: "Stygimic"

Scale 729: Stygimic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Stygimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,6,7,9}
Forte Number6-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 873
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 603
Deep Scaleno
Interval Vector225222
Interval Spectrump2m2n5s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 729 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 603
Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimicThis is the prime mode
3rd mode:
Scale 2349
Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
4th mode:
Scale 1611
Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
5th mode:
Scale 2853
Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
6th mode:
Scale 1737
Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns

Prime

The prime form of this scale is Scale 603

Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic

Complement

The hexatonic modal family [729, 603, 2349, 1611, 2853, 1737] (Forte: 6-27) is the complement of the hexatonic modal family [603, 729, 1611, 1737, 2349, 2853] (Forte: 6-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 729 is 873

Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 729 is chiral, and its enantiomorph is scale 873

Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic

Transformations:

T0 729  T0I 873
T1 1458  T1I 1746
T2 2916  T2I 3492
T3 1737  T3I 2889
T4 3474  T4I 1683
T5 2853  T5I 3366
T6 1611  T6I 2637
T7 3222  T7I 1179
T8 2349  T8I 2358
T9 603  T9I 621
T10 1206  T10I 1242
T11 2412  T11I 2484

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 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 761Scale 761: Ponian, Ian Ring Music TheoryPonian
Scale 665Scale 665: Raga Mohanangi, Ian Ring Music TheoryRaga Mohanangi
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 217Scale 217, Ian Ring Music Theory
Scale 473Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
Scale 1753Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
Scale 2777Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic

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