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Scale 789: "Zogitonic"

Scale 789: Zogitonic, 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
Zogitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,8,9}
Forte Number5-30
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1305
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 339
Deep Scaleno
Interval Vector121321
Interval Spectrump2m3ns2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {8,9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 789 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1221
Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
3rd mode:
Scale 1329
Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
4th mode:
Scale 339
Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonicThis is the prime mode
5th mode:
Scale 2217
Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic

Prime

The prime form of this scale is Scale 339

Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic

Complement

The pentatonic modal family [789, 1221, 1329, 339, 2217] (Forte: 5-30) is the complement of the heptatonic modal family [855, 1395, 1485, 1845, 2475, 2745, 3285] (Forte: 7-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 789 is 1305

Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 789 is chiral, and its enantiomorph is scale 1305

Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic

Transformations:

T0 789  T0I 1305
T1 1578  T1I 2610
T2 3156  T2I 1125
T3 2217  T3I 2250
T4 339  T4I 405
T5 678  T5I 810
T6 1356  T6I 1620
T7 2712  T7I 3240
T8 1329  T8I 2385
T9 2658  T9I 675
T10 1221  T10I 1350
T11 2442  T11I 2700

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 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
Scale 785Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric
Scale 787Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
Scale 793Scale 793: Mocritonic, Ian Ring Music TheoryMocritonic
Scale 797Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
Scale 773Scale 773, Ian Ring Music Theory
Scale 781Scale 781, Ian Ring Music Theory
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 821Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 917Scale 917: Dygimic, Ian Ring Music TheoryDygimic
Scale 533Scale 533, Ian Ring Music Theory
Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1813Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic

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.