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Scale 3157: "Zyptimic"

Scale 3157: Zyptimic, 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
Zyptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,6,10,11}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1351
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3157 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1813
Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
3rd mode:
Scale 1477
Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
4th mode:
Scale 1393
Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
5th mode:
Scale 343
Scale 343: Ionorimic, Ian Ring Music TheoryIonorimicThis is the prime mode
6th mode:
Scale 2219
Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic

Complement

The hexatonic modal family [3157, 1813, 1477, 1393, 343, 2219] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3157 is 1351

Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3157 is chiral, and its enantiomorph is scale 1351

Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic

Transformations:

T0 3157  T0I 1351
T1 2219  T1I 2702
T2 343  T2I 1309
T3 686  T3I 2618
T4 1372  T4I 1141
T5 2744  T5I 2282
T6 1393  T6I 469
T7 2786  T7I 938
T8 1477  T8I 1876
T9 2954  T9I 3752
T10 1813  T10I 3409
T11 3626  T11I 2723

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 3159Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic
Scale 3155Scale 3155: Ladimic, Ian Ring Music TheoryLadimic
Scale 3161Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3189Scale 3189: Aeolonian, Ian Ring Music TheoryAeolonian
Scale 3093Scale 3093, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic

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.