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Scale 933: "Dadimic"

Scale 933: Dadimic, 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
Dadimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,7,8,9}
Forte Number6-Z47
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1209
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 663
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 933 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1257
Scale 1257: Blues Scale, Ian Ring Music TheoryBlues Scale
3rd mode:
Scale 669
Scale 669: Gycrimic, Ian Ring Music TheoryGycrimic
4th mode:
Scale 1191
Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
5th mode:
Scale 2643
Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
6th mode:
Scale 3369
Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic

Prime

The prime form of this scale is Scale 663

Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic

Complement

The hexatonic modal family [933, 1257, 669, 1191, 2643, 3369] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 933 is 1209

Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 933 is chiral, and its enantiomorph is scale 1209

Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari

Transformations:

T0 933  T0I 1209
T1 1866  T1I 2418
T2 3732  T2I 741
T3 3369  T3I 1482
T4 2643  T4I 2964
T5 1191  T5I 1833
T6 2382  T6I 3666
T7 669  T7I 3237
T8 1338  T8I 2379
T9 2676  T9I 663
T10 1257  T10I 1326
T11 2514  T11I 2652

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 935Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian
Scale 929Scale 929, Ian Ring Music Theory
Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
Scale 937Scale 937: Stothimic, Ian Ring Music TheoryStothimic
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 901Scale 901, Ian Ring Music Theory
Scale 917Scale 917: Dygimic, Ian Ring Music TheoryDygimic
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 997Scale 997: Rycrian, Ian Ring Music TheoryRycrian
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 1957Scale 1957: Pyrian, Ian Ring Music TheoryPyrian
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian

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.