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Scale 2945

Scale 2945, 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{0,7,8,9,11}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 59
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2945 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 55
Scale 55, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2075
Scale 2075, Ian Ring Music Theory
4th mode:
Scale 3085
Scale 3085, Ian Ring Music Theory
5th mode:
Scale 1795
Scale 1795, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [2945, 55, 2075, 3085, 1795] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2945 is 59

Scale 59Scale 59, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2945 is chiral, and its enantiomorph is scale 59

Scale 59Scale 59, Ian Ring Music Theory

Transformations:

T0 2945  T0I 59
T1 1795  T1I 118
T2 3590  T2I 236
T3 3085  T3I 472
T4 2075  T4I 944
T5 55  T5I 1888
T6 110  T6I 3776
T7 220  T7I 3457
T8 440  T8I 2819
T9 880  T9I 1543
T10 1760  T10I 3086
T11 3520  T11I 2077

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 2947Scale 2947, Ian Ring Music Theory
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 2817Scale 2817, Ian Ring Music Theory
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 2689Scale 2689, Ian Ring Music Theory
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 3457Scale 3457, Ian Ring Music Theory
Scale 3969Scale 3969, Ian Ring Music Theory
Scale 897Scale 897, Ian Ring Music Theory
Scale 1921Scale 1921, 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.