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Scale 269

Scale 269, 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).

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,2,3,8}
Forte Number4-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1553
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 139
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {3,6,9}
<3> = {7,8,10,11}
Spectra Variation3.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 269 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1091
Scale 1091, Ian Ring Music Theory
3rd mode:
Scale 2593
Scale 2593, Ian Ring Music Theory
4th mode:
Scale 209
Scale 209, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 139

Scale 139Scale 139, Ian Ring Music Theory

Complement

The tetratonic modal family [269, 1091, 2593, 209] (Forte: 4-Z29) is the complement of the octatonic modal family [751, 1913, 1943, 2423, 3019, 3259, 3557, 3677] (Forte: 8-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 269 is 1553

Scale 1553Scale 1553, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 269 is chiral, and its enantiomorph is scale 1553

Scale 1553Scale 1553, Ian Ring Music Theory

Transformations:

T0 269  T0I 1553
T1 538  T1I 3106
T2 1076  T2I 2117
T3 2152  T3I 139
T4 209  T4I 278
T5 418  T5I 556
T6 836  T6I 1112
T7 1672  T7I 2224
T8 3344  T8I 353
T9 2593  T9I 706
T10 1091  T10I 1412
T11 2182  T11I 2824

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 271Scale 271, Ian Ring Music Theory
Scale 265Scale 265, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 261Scale 261, Ian Ring Music Theory
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 285Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 397Scale 397: Aeolian Pentatonic, Ian Ring Music TheoryAeolian Pentatonic
Scale 13Scale 13, Ian Ring Music Theory
Scale 141Scale 141, Ian Ring Music Theory
Scale 525Scale 525, Ian Ring Music Theory
Scale 781Scale 781, Ian Ring Music Theory
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 2317Scale 2317, 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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.