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Scale 3781: "Gyphian"

Scale 3781: Gyphian, Ian Ring Music Theory

Common Names

Zeitler
Gyphian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,6,7,9,10,11}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1135
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 379
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3781 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1969
Scale 1969: Stylian, Ian Ring Music TheoryStylian
3rd mode:
Scale 379
Scale 379: Aeragian, Ian Ring Music TheoryAeragianThis is the prime mode
4th mode:
Scale 2237
Scale 2237: Epothian, Ian Ring Music TheoryEpothian
5th mode:
Scale 1583
Scale 1583: Salian, Ian Ring Music TheorySalian
6th mode:
Scale 2839
Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
7th mode:
Scale 3467
Scale 3467: Katonian, Ian Ring Music TheoryKatonian

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [3781, 1969, 379, 2237, 1583, 2839, 3467] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3781 is 1135

Scale 1135Scale 1135: Katolian, Ian Ring Music TheoryKatolian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3781 is chiral, and its enantiomorph is scale 1135

Scale 1135Scale 1135: Katolian, Ian Ring Music TheoryKatolian

Transformations:

T0 3781  T0I 1135
T1 3467  T1I 2270
T2 2839  T2I 445
T3 1583  T3I 890
T4 3166  T4I 1780
T5 2237  T5I 3560
T6 379  T6I 3025
T7 758  T7I 1955
T8 1516  T8I 3910
T9 3032  T9I 3725
T10 1969  T10I 3355
T11 3938  T11I 2615

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 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
Scale 3777Scale 3777, Ian Ring Music Theory
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 3785Scale 3785: Epagian, Ian Ring Music TheoryEpagian
Scale 3789Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3749Scale 3749: Raga Sorati, Ian Ring Music TheoryRaga Sorati
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 3909Scale 3909: Rydian, Ian Ring Music TheoryRydian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati

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