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Scale 2075

Scale 2075, 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{0,1,3,4,11}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2819
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 2075 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3085
Scale 3085, Ian Ring Music Theory
3rd mode:
Scale 1795
Scale 1795, Ian Ring Music Theory
4th mode:
Scale 2945
Scale 2945, Ian Ring Music Theory
5th mode:
Scale 55
Scale 55, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [2075, 3085, 1795, 2945, 55] (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 2075 is 2819

Scale 2819Scale 2819, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2075 is chiral, and its enantiomorph is scale 2819

Scale 2819Scale 2819, Ian Ring Music Theory

Transformations:

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

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 2073Scale 2073, Ian Ring Music Theory
Scale 2077Scale 2077, Ian Ring Music Theory
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2071Scale 2071, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 27Scale 27, Ian Ring Music Theory
Scale 1051Scale 1051, 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.