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Scale 1221: "Epyritonic"

Scale 1221: Epyritonic, 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
Epyritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,7,10}
Forte Number5-30
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1125
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 339
Deep Scaleno
Interval Vector121321
Interval Spectrump2m3ns2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {8,9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1221 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1329
Scale 1329: Epygitonic, Ian Ring Music TheoryEpygitonic
3rd mode:
Scale 339
Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonicThis is the prime mode
4th mode:
Scale 2217
Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
5th mode:
Scale 789
Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic

Prime

The prime form of this scale is Scale 339

Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic

Complement

The pentatonic modal family [1221, 1329, 339, 2217, 789] (Forte: 5-30) is the complement of the heptatonic modal family [855, 1395, 1485, 1845, 2475, 2745, 3285] (Forte: 7-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1221 is 1125

Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1221 is chiral, and its enantiomorph is scale 1125

Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic

Transformations:

T0 1221  T0I 1125
T1 2442  T1I 2250
T2 789  T2I 405
T3 1578  T3I 810
T4 3156  T4I 1620
T5 2217  T5I 3240
T6 339  T6I 2385
T7 678  T7I 675
T8 1356  T8I 1350
T9 2712  T9I 2700
T10 1329  T10I 1305
T11 2658  T11I 2610

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 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1219Scale 1219, Ian Ring Music Theory
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1157Scale 1157, Ian Ring Music Theory
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
Scale 197Scale 197, Ian Ring Music Theory
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani

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.