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Scale 3753: "Phraptian"

Scale 3753: Phraptian, Ian Ring Music Theory

Common Names

Zeitler
Phraptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,7,9,10,11}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 687
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3753 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 981
Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
3rd mode:
Scale 1269
Scale 1269: Katythian, Ian Ring Music TheoryKatythian
4th mode:
Scale 1341
Scale 1341: Madian, Ian Ring Music TheoryMadian
5th mode:
Scale 1359
Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
6th mode:
Scale 2727
Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
7th mode:
Scale 3411
Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [3753, 981, 1269, 1341, 1359, 2727, 3411] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3753 is 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3753 is chiral, and its enantiomorph is scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Transformations:

T0 3753  T0I 687
T1 3411  T1I 1374
T2 2727  T2I 2748
T3 1359  T3I 1401
T4 2718  T4I 2802
T5 1341  T5I 1509
T6 2682  T6I 3018
T7 1269  T7I 1941
T8 2538  T8I 3882
T9 981  T9I 3669
T10 1962  T10I 3243
T11 3924  T11I 2391

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 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3749Scale 3749: Raga Sorati, Ian Ring Music TheoryRaga Sorati
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 3769Scale 3769: Eponyllic, Ian Ring Music TheoryEponyllic
Scale 3721Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
Scale 3737Scale 3737: Phrocrian, Ian Ring Music TheoryPhrocrian
Scale 3785Scale 3785: Epagian, Ian Ring Music TheoryEpagian
Scale 3817Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 3689Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
Scale 3881Scale 3881: Morian, Ian Ring Music TheoryMorian
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3497Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 1705Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari

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