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Scale 2693

Scale 2693, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,7,9,11}
Forte Number5-23
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1067
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 173
Deep Scaleno
Interval Vector132130
Interval Spectrump3mn2s3d
Distribution Spectra<1> = {1,2,5}
<2> = {3,4,7}
<3> = {5,8,9}
<4> = {7,10,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2693 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1697
Scale 1697: Raga Kuntvarali, Ian Ring Music TheoryRaga Kuntvarali
3rd mode:
Scale 181
Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
4th mode:
Scale 1069
Scale 1069, Ian Ring Music Theory
5th mode:
Scale 1291
Scale 1291, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 173

Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita

Complement

The pentatonic modal family [2693, 1697, 181, 1069, 1291] (Forte: 5-23) is the complement of the heptatonic modal family [701, 1199, 1513, 1957, 2647, 3371, 3733] (Forte: 7-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2693 is 1067

Scale 1067Scale 1067, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2693 is chiral, and its enantiomorph is scale 1067

Scale 1067Scale 1067, Ian Ring Music Theory

Transformations:

T0 2693  T0I 1067
T1 1291  T1I 2134
T2 2582  T2I 173
T3 1069  T3I 346
T4 2138  T4I 692
T5 181  T5I 1384
T6 362  T6I 2768
T7 724  T7I 1441
T8 1448  T8I 2882
T9 2896  T9I 1669
T10 1697  T10I 3338
T11 3394  T11I 2581

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 2695Scale 2695, Ian Ring Music Theory
Scale 2689Scale 2689, Ian Ring Music Theory
Scale 2691Scale 2691, Ian Ring Music Theory
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2565Scale 2565, Ian Ring Music Theory
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2437Scale 2437, Ian Ring Music Theory
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 645Scale 645, Ian Ring Music Theory
Scale 1669Scale 1669: Raga Matha Kokila, Ian Ring Music TheoryRaga Matha Kokila

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