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Scale 2585

Scale 2585, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,9,11}
Forte Number5-Z18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 779
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 179
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2585 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 835
Scale 835, Ian Ring Music Theory
3rd mode:
Scale 2465
Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
4th mode:
Scale 205
Scale 205, Ian Ring Music Theory
5th mode:
Scale 1075
Scale 1075, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 179

Scale 179Scale 179, Ian Ring Music Theory

Complement

The pentatonic modal family [2585, 835, 2465, 205, 1075] (Forte: 5-Z18) is the complement of the heptatonic modal family [755, 815, 1945, 2425, 2455, 3275, 3685] (Forte: 7-Z18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2585 is 779

Scale 779Scale 779, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2585 is chiral, and its enantiomorph is scale 779

Scale 779Scale 779, Ian Ring Music Theory

Transformations:

T0 2585  T0I 779
T1 1075  T1I 1558
T2 2150  T2I 3116
T3 205  T3I 2137
T4 410  T4I 179
T5 820  T5I 358
T6 1640  T6I 716
T7 3280  T7I 1432
T8 2465  T8I 2864
T9 835  T9I 1633
T10 1670  T10I 3266
T11 3340  T11I 2437

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 2587Scale 2587, Ian Ring Music Theory
Scale 2589Scale 2589, Ian Ring Music Theory
Scale 2577Scale 2577, Ian Ring Music Theory
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 2569Scale 2569, Ian Ring Music Theory
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2713Scale 2713: Porimic, Ian Ring Music TheoryPorimic
Scale 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 537Scale 537, Ian Ring Music Theory
Scale 1561Scale 1561, 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.