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Scale 2233: "Donimic"

Scale 2233: Donimic, 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
Donimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,7,11}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 931
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2233 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 791
Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
3rd mode:
Scale 2443
Scale 2443: Panimic, Ian Ring Music TheoryPanimic
4th mode:
Scale 3269
Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
5th mode:
Scale 1841
Scale 1841: Thogimic, Ian Ring Music TheoryThogimic
6th mode:
Scale 371
Scale 371: Rythimic, Ian Ring Music TheoryRythimicThis is the prime mode

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [2233, 791, 2443, 3269, 1841, 371] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2233 is 931

Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2233 is chiral, and its enantiomorph is scale 931

Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi

Transformations:

T0 2233  T0I 931
T1 371  T1I 1862
T2 742  T2I 3724
T3 1484  T3I 3353
T4 2968  T4I 2611
T5 1841  T5I 1127
T6 3682  T6I 2254
T7 3269  T7I 413
T8 2443  T8I 826
T9 791  T9I 1652
T10 1582  T10I 3304
T11 3164  T11I 2513

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 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2237Scale 2237: Epothian, Ian Ring Music TheoryEpothian
Scale 2225Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
Scale 2265Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2105Scale 2105, Ian Ring Music Theory
Scale 2169Scale 2169, Ian Ring Music Theory
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 185Scale 185, Ian Ring Music Theory
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari

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.