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Scale 375: "Sodian"

Scale 375: Sodian, 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

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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).

Common Names

Zeitler
Sodian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,5,6,8}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3537
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?yes
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 375 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2235
Scale 2235: Bathian, Ian Ring Music TheoryBathian
3rd mode:
Scale 3165
Scale 3165: Mylian, Ian Ring Music TheoryMylian
4th mode:
Scale 1815
Scale 1815: Godian, Ian Ring Music TheoryGodian
5th mode:
Scale 2955
Scale 2955: Thorian, Ian Ring Music TheoryThorian
6th mode:
Scale 3525
Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
7th mode:
Scale 1905
Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [375, 2235, 3165, 1815, 2955, 3525, 1905] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 375 is 3537

Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 375 is chiral, and its enantiomorph is scale 3537

Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian

Transformations:

T0 375  T0I 3537
T1 750  T1I 2979
T2 1500  T2I 1863
T3 3000  T3I 3726
T4 1905  T4I 3357
T5 3810  T5I 2619
T6 3525  T6I 1143
T7 2955  T7I 2286
T8 1815  T8I 477
T9 3630  T9I 954
T10 3165  T10I 1908
T11 2235  T11I 3816

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 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian
Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic
Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 119Scale 119, Ian Ring Music Theory
Scale 247Scale 247, Ian Ring Music Theory
Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian
Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic
Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic
Scale 2423Scale 2423, 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.