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Scale 3353: "Phraptimic"

Scale 3353: Phraptimic, Ian Ring Music Theory

Common Names

Zeitler
Phraptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,8,10,11}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 791
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
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3353 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 931
Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
3rd mode:
Scale 2513
Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
4th mode:
Scale 413
Scale 413: Ganimic, Ian Ring Music TheoryGanimic
5th mode:
Scale 1127
Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
6th mode:
Scale 2611
Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [3353, 931, 2513, 413, 1127, 2611] (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 3353 is 791

Scale 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3353 is chiral, and its enantiomorph is scale 791

Scale 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic

Transformations:

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

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 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
Scale 3345Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3337Scale 3337, Ian Ring Music Theory
Scale 3369Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic
Scale 3385Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian
Scale 3417Scale 3417: Golian, Ian Ring Music TheoryGolian
Scale 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 3865Scale 3865: Starian, Ian Ring Music TheoryStarian
Scale 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic

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. Bibliography