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Scale 69

Scale 69, 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

Cardinality3 (tritonic)
Pitch Class Set{0,2,6}
Forte Number3-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1089
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes2
Prime?yes
Deep Scaleno
Interval Vector010101
Interval Spectrummst
Distribution Spectra<1> = {2,4,6}
<2> = {6,8,10}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 69 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 1041
Scale 1041, Ian Ring Music Theory
3rd mode:
Scale 321
Scale 321, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tritonic modal family [69, 1041, 321] (Forte: 3-8) is the complement of the nonatonic modal family [1503, 1917, 2007, 2799, 3051, 3447, 3573, 3771, 3933] (Forte: 9-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 69 is 1089

Scale 1089Scale 1089, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 69 is chiral, and its enantiomorph is scale 1089

Scale 1089Scale 1089, Ian Ring Music Theory

Transformations:

T0 69  T0I 1089
T1 138  T1I 2178
T2 276  T2I 261
T3 552  T3I 522
T4 1104  T4I 1044
T5 2208  T5I 2088
T6 321  T6I 81
T7 642  T7I 162
T8 1284  T8I 324
T9 2568  T9I 648
T10 1041  T10I 1296
T11 2082  T11I 2592

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 71Scale 71, Ian Ring Music Theory
Scale 65Scale 65, Ian Ring Music Theory
Scale 67Scale 67, Ian Ring Music Theory
Scale 73Scale 73, Ian Ring Music Theory
Scale 77Scale 77, Ian Ring Music Theory
Scale 85Scale 85, Ian Ring Music Theory
Scale 101Scale 101, Ian Ring Music Theory
Scale 5Scale 5: Vietnamese ditonic, Ian Ring Music TheoryVietnamese ditonic
Scale 37Scale 37, Ian Ring Music Theory
Scale 133Scale 133, Ian Ring Music Theory
Scale 197Scale 197, Ian Ring Music Theory
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam

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