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Scale 2691

Scale 2691, 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

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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{0,1,7,9,11}
Forte Number5-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2091
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 87
Deep Scaleno
Interval Vector231211
Interval Spectrumpm2ns3d2t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {6,10,11}
Spectra Variation4.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2691 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3393
Scale 3393, Ian Ring Music Theory
3rd mode:
Scale 117
Scale 117, Ian Ring Music Theory
4th mode:
Scale 1053
Scale 1053, Ian Ring Music Theory
5th mode:
Scale 1287
Scale 1287, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 87

Scale 87Scale 87, Ian Ring Music Theory

Complement

The pentatonic modal family [2691, 3393, 117, 1053, 1287] (Forte: 5-9) is the complement of the heptatonic modal family [351, 1521, 1989, 2223, 3159, 3627, 3861] (Forte: 7-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2691 is 2091

Scale 2091Scale 2091, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2691 is chiral, and its enantiomorph is scale 2091

Scale 2091Scale 2091, Ian Ring Music Theory

Transformations:

T0 2691  T0I 2091
T1 1287  T1I 87
T2 2574  T2I 174
T3 1053  T3I 348
T4 2106  T4I 696
T5 117  T5I 1392
T6 234  T6I 2784
T7 468  T7I 1473
T8 936  T8I 2946
T9 1872  T9I 1797
T10 3744  T10I 3594
T11 3393  T11I 3093

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 2689Scale 2689, Ian Ring Music Theory
Scale 2693Scale 2693, Ian Ring Music Theory
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2819Scale 2819, Ian Ring Music Theory
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2435Scale 2435: Raga Deshgaur, Ian Ring Music TheoryRaga Deshgaur
Scale 3203Scale 3203, Ian Ring Music Theory
Scale 3715Scale 3715, Ian Ring Music Theory
Scale 643Scale 643, Ian Ring Music Theory
Scale 1667Scale 1667, Ian Ring Music Theory

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