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Scale 1363: "Gygimic"

Scale 1363: Gygimic, 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. Dotted lines indicate axes of symmetry.

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
Gygimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,6,8,10}
Forte Number6-34
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2389
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 683
Deep Scaleno
Interval Vector142422
Interval Spectrump2m4n2s4dt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1363 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2729
Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
3rd mode:
Scale 853
Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
4th mode:
Scale 1237
Scale 1237: Salimic, Ian Ring Music TheorySalimic
5th mode:
Scale 1333
Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
6th mode:
Scale 1357
Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2

Prime

The prime form of this scale is Scale 683

Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic

Complement

The hexatonic modal family [1363, 2729, 853, 1237, 1333, 1357] (Forte: 6-34) is the complement of the hexatonic modal family [683, 1369, 1381, 1429, 1621, 2389] (Forte: 6-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1363 is 2389

Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1363 is chiral, and its enantiomorph is scale 2389

Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2

Transformations:

T0 1363  T0I 2389
T1 2726  T1I 683
T2 1357  T2I 1366
T3 2714  T3I 2732
T4 1333  T4I 1369
T5 2666  T5I 2738
T6 1237  T6I 1381
T7 2474  T7I 2762
T8 853  T8I 1429
T9 1706  T9I 2858
T10 3412  T10I 1621
T11 2729  T11I 3242

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 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1347Scale 1347, Ian Ring Music Theory
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1395Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 851Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.