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Scale 3213: "Eponimic"

Scale 3213: Eponimic, 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
Eponimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,7,10,11}
Forte Number6-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1575
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 315
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3213 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1827
Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
3rd mode:
Scale 2961
Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
4th mode:
Scale 441
Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
5th mode:
Scale 567
Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic
6th mode:
Scale 2331
Scale 2331: Dylimic, Ian Ring Music TheoryDylimic

Prime

The prime form of this scale is Scale 315

Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic

Complement

The hexatonic modal family [3213, 1827, 2961, 441, 567, 2331] (Forte: 6-14) is the complement of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465] (Forte: 6-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3213 is 1575

Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3213 is chiral, and its enantiomorph is scale 1575

Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic

Transformations:

T0 3213  T0I 1575
T1 2331  T1I 3150
T2 567  T2I 2205
T3 1134  T3I 315
T4 2268  T4I 630
T5 441  T5I 1260
T6 882  T6I 2520
T7 1764  T7I 945
T8 3528  T8I 1890
T9 2961  T9I 3780
T10 1827  T10I 3465
T11 3654  T11I 2835

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 3215Scale 3215: Katydian, Ian Ring Music TheoryKatydian
Scale 3209Scale 3209: Aeraphitonic, Ian Ring Music TheoryAeraphitonic
Scale 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3229Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3085Scale 3085, Ian Ring Music Theory
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian
Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic

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.