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Scale 2529

Scale 2529, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,5,6,7,8,11}
Forte Number6-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 243
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 207
Deep Scaleno
Interval Vector422232
Interval Spectrump3m2n2s2d4t2
Distribution Spectra<1> = {1,3,5}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {7,9,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2529 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 207
Scale 207, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2151
Scale 2151, Ian Ring Music Theory
4th mode:
Scale 3123
Scale 3123, Ian Ring Music Theory
5th mode:
Scale 3609
Scale 3609, Ian Ring Music Theory
6th mode:
Scale 963
Scale 963, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 207

Scale 207Scale 207, Ian Ring Music Theory

Complement

The hexatonic modal family [2529, 207, 2151, 3123, 3609, 963] (Forte: 6-5) is the complement of the hexatonic modal family [207, 963, 2151, 2529, 3123, 3609] (Forte: 6-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2529 is 243

Scale 243Scale 243, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2529 is chiral, and its enantiomorph is scale 243

Scale 243Scale 243, Ian Ring Music Theory

Transformations:

T0 2529  T0I 243
T1 963  T1I 486
T2 1926  T2I 972
T3 3852  T3I 1944
T4 3609  T4I 3888
T5 3123  T5I 3681
T6 2151  T6I 3267
T7 207  T7I 2439
T8 414  T8I 783
T9 828  T9I 1566
T10 1656  T10I 3132
T11 3312  T11I 2169

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 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 2533Scale 2533: Podian, Ian Ring Music TheoryPodian
Scale 2537Scale 2537: Laptian, Ian Ring Music TheoryLaptian
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 2497Scale 2497, Ian Ring Music Theory
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 2273Scale 2273, Ian Ring Music Theory
Scale 2785Scale 2785, Ian Ring Music Theory
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 3553Scale 3553, Ian Ring Music Theory
Scale 481Scale 481, Ian Ring Music Theory
Scale 1505Scale 1505, 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.