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Scale 1127: "Eparimic"

Scale 1127: Eparimic, 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

41161837294116105072918310504116183
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
Eparimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,5,6,10}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3269
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1127 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2611
Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
3rd mode:
Scale 3353
Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
4th mode:
Scale 931
Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
5th mode:
Scale 2513
Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
6th mode:
Scale 413
Scale 413: Ganimic, Ian Ring Music TheoryGanimic

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [1127, 2611, 3353, 931, 2513, 413] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1127 is 3269

Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1127 is chiral, and its enantiomorph is scale 3269

Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani

Transformations:

T0 1127  T0I 3269
T1 2254  T1I 2443
T2 413  T2I 791
T3 826  T3I 1582
T4 1652  T4I 3164
T5 3304  T5I 2233
T6 2513  T6I 371
T7 931  T7I 742
T8 1862  T8I 1484
T9 3724  T9I 2968
T10 3353  T10I 1841
T11 2611  T11I 3682

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 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic
Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato
Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form
Scale 1135Scale 1135: Katolian, Ian Ring Music TheoryKatolian
Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1063Scale 1063, Ian Ring Music Theory
Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
Scale 1255Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian
Scale 1383Scale 1383: Pynian, Ian Ring Music TheoryPynian
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 103Scale 103, Ian Ring Music Theory
Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic
Scale 2151Scale 2151, Ian Ring Music Theory
Scale 3175Scale 3175: Eponian, Ian Ring Music TheoryEponian

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.