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Scale 359: "Bothimic"

Scale 359: Bothimic, 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
Bothimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,5,6,8}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3281
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 359 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2227
Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
3rd mode:
Scale 3161
Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
4th mode:
Scale 907
Scale 907: Tholimic, Ian Ring Music TheoryTholimic
5th mode:
Scale 2501
Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
6th mode:
Scale 1649
Scale 1649: Bolimic, Ian Ring Music TheoryBolimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [359, 2227, 3161, 907, 2501, 1649] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 359 is 3281

Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 359 is chiral, and its enantiomorph is scale 3281

Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta

Transformations:

T0 359  T0I 3281
T1 718  T1I 2467
T2 1436  T2I 839
T3 2872  T3I 1678
T4 1649  T4I 3356
T5 3298  T5I 2617
T6 2501  T6I 1139
T7 907  T7I 2278
T8 1814  T8I 461
T9 3628  T9I 922
T10 3161  T10I 1844
T11 2227  T11I 3688

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 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic
Scale 487Scale 487: Dynian, Ian Ring Music TheoryDynian
Scale 103Scale 103, Ian Ring Music Theory
Scale 231Scale 231, Ian Ring Music Theory
Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic
Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7
Scale 1383Scale 1383: Pynian, Ian Ring Music TheoryPynian
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian

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.