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Scale 2513: "Aerycrimic"

Scale 2513: Aerycrimic, 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
Aerycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,6,7,8,11}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 371
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 2513 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 413
Scale 413: Ganimic, Ian Ring Music TheoryGanimic
3rd mode:
Scale 1127
Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
4th mode:
Scale 2611
Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
5th mode:
Scale 3353
Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
6th mode:
Scale 931
Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [2513, 413, 1127, 2611, 3353, 931] (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 2513 is 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2513 is chiral, and its enantiomorph is scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Transformations:

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

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 2515Scale 2515: Chromatic Hypolydian, Ian Ring Music TheoryChromatic Hypolydian
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani
Scale 2497Scale 2497, Ian Ring Music Theory
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2769Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic
Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 465Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti

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.