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Scale 263

Scale 263, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,1,2,8}
Forte Number4-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3089
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes3
Prime?no
prime: 71
Deep Scaleno
Interval Vector210111
Interval Spectrumpmsd2t
Distribution Spectra<1> = {1,4,6}
<2> = {2,5,7,10}
<3> = {6,8,11}
Spectra Variation4.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 263 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2179
Scale 2179, Ian Ring Music Theory
3rd mode:
Scale 3137
Scale 3137, Ian Ring Music Theory
4th mode:
Scale 113
Scale 113, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 71

Scale 71Scale 71, Ian Ring Music Theory

Complement

The tetratonic modal family [263, 2179, 3137, 113] (Forte: 4-5) is the complement of the octatonic modal family [479, 1991, 2287, 3043, 3191, 3569, 3643, 3869] (Forte: 8-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 263 is 3089

Scale 3089Scale 3089, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 263 is chiral, and its enantiomorph is scale 3089

Scale 3089Scale 3089, Ian Ring Music Theory

Transformations:

T0 263  T0I 3089
T1 526  T1I 2083
T2 1052  T2I 71
T3 2104  T3I 142
T4 113  T4I 284
T5 226  T5I 568
T6 452  T6I 1136
T7 904  T7I 2272
T8 1808  T8I 449
T9 3616  T9I 898
T10 3137  T10I 1796
T11 2179  T11I 3592

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 261Scale 261, Ian Ring Music Theory
Scale 259Scale 259, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 271Scale 271, Ian Ring Music Theory
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 391Scale 391, Ian Ring Music Theory
Scale 7Scale 7, Ian Ring Music Theory
Scale 135Scale 135, Ian Ring Music Theory
Scale 519Scale 519, Ian Ring Music Theory
Scale 775Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya

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