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Scale 357: "Banitonic"

Scale 357: Banitonic, 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.

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
Banitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,5,6,8}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1233
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 357 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1113
Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
3rd mode:
Scale 651
Scale 651: Golitonic, Ian Ring Music TheoryGolitonic
4th mode:
Scale 2373
Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
5th mode:
Scale 1617
Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [357, 1113, 651, 2373, 1617] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 357 is 1233

Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 357 is chiral, and its enantiomorph is scale 1233

Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic

Transformations:

T0 357  T0I 1233
T1 714  T1I 2466
T2 1428  T2I 837
T3 2856  T3I 1674
T4 1617  T4I 3348
T5 3234  T5I 2601
T6 2373  T6I 1107
T7 651  T7I 2214
T8 1302  T8I 333
T9 2604  T9I 666
T10 1113  T10I 1332
T11 2226  T11I 2664

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 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic
Scale 353Scale 353, Ian Ring Music Theory
Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 361Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic
Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic
Scale 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 101Scale 101, Ian Ring Music Theory
Scale 229Scale 229, Ian Ring Music Theory
Scale 613Scale 613: Phralitonic, Ian Ring Music TheoryPhralitonic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic

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. Bibliography