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Scale 2913

Scale 2913, 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{0,5,6,8,9,11}
Forte Number6-Z13
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 219
Deep Scaleno
Interval Vector324222
Interval Spectrump2m2n4s2d3t2
Distribution Spectra<1> = {1,2,5}
<2> = {3,6}
<3> = {4,5,7,8}
<4> = {6,9}
<5> = {7,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tones[5]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2913 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 219
Scale 219: Istrian, Ian Ring Music TheoryIstrianThis is the prime mode
3rd mode:
Scale 2157
Scale 2157, Ian Ring Music Theory
4th mode:
Scale 1563
Scale 1563, Ian Ring Music Theory
5th mode:
Scale 2829
Scale 2829, Ian Ring Music Theory
6th mode:
Scale 1731
Scale 1731, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 219

Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian

Complement

The hexatonic modal family [2913, 219, 2157, 1563, 2829, 1731] (Forte: 6-Z13) is the complement of the hexatonic modal family [591, 633, 969, 2343, 3219, 3657] (Forte: 6-Z42)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2913 is 219

Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian

Transformations:

T0 2913  T0I 219
T1 1731  T1I 438
T2 3462  T2I 876
T3 2829  T3I 1752
T4 1563  T4I 3504
T5 3126  T5I 2913
T6 2157  T6I 1731
T7 219  T7I 3462
T8 438  T8I 2829
T9 876  T9I 1563
T10 1752  T10I 3126
T11 3504  T11I 2157

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 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 2929Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
Scale 2849Scale 2849, Ian Ring Music Theory
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2785Scale 2785, Ian Ring Music Theory
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 1889Scale 1889, 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.