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Scale 4023: "Styptyllian"

Scale 4023: Styptyllian, Ian Ring Music Theory

Common Names

Zeitler
Styptyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,4,5,7,8,9,10,11}
Forte Number10-3
Rotational Symmetrynone
Reflection Axes4.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1791
Deep Scaleno
Interval Vector889884
Interval Spectrump8m8n9s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[9]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4023 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4059
Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
3rd mode:
Scale 4077
Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
4th mode:
Scale 2043
Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
5th mode:
Scale 3069
Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
6th mode:
Scale 1791
Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllianThis is the prime mode
7th mode:
Scale 2943
Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
8th mode:
Scale 3519
Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
9th mode:
Scale 3807
Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
10th mode:
Scale 3951
Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian

Prime

The prime form of this scale is Scale 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Complement

The decatonic modal family [4023, 4059, 4077, 2043, 3069, 1791, 2943, 3519, 3807, 3951] (Forte: 10-3) is the complement of the modal family [9, 513] (Forte: 2-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4023 is 3519

Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi

Transformations:

T0 4023  T0I 3519
T1 3951  T1I 2943
T2 3807  T2I 1791
T3 3519  T3I 3582
T4 2943  T4I 3069
T5 1791  T5I 2043
T6 3582  T6I 4086
T7 3069  T7I 4077
T8 2043  T8I 4059
T9 4086  T9I 4023
T10 4077  T10I 3951
T11 4059  T11I 3807

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 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 4027Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
Scale 4031Scale 4031: Godatic, Ian Ring Music TheoryGodatic
Scale 4007Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 3991Scale 3991: Badygic, Ian Ring Music TheoryBadygic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic

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