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Scale 393: "Lothic"

Scale 393: Lothic, Ian Ring Music Theory

Common Names

Zeitler
Lothic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,3,7,8}
Forte Number4-20
Rotational Symmetrynone
Reflection Axes1.5
Palindromicno
Chiralityno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?no
prime: 291
Deep Scaleno
Interval Vector101220
Interval Spectrump2m2nd
Distribution Spectra<1> = {1,3,4}
<2> = {5,7}
<3> = {8,9,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[3]
Coherenceyes
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 393 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 561
Scale 561: Phratic, Ian Ring Music TheoryPhratic
3rd mode:
Scale 291
Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga LavangiThis is the prime mode
4th mode:
Scale 2193
Scale 2193: Thaptic, Ian Ring Music TheoryThaptic

Prime

The prime form of this scale is Scale 291

Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi

Complement

The tetratonic modal family [393, 561, 291, 2193] (Forte: 4-20) is the complement of the octatonic modal family [951, 1767, 1851, 2523, 2931, 2973, 3309, 3513] (Forte: 8-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 393 is 561

Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic

Transformations:

T0 393  T0I 561
T1 786  T1I 1122
T2 1572  T2I 2244
T3 3144  T3I 393
T4 2193  T4I 786
T5 291  T5I 1572
T6 582  T6I 3144
T7 1164  T7I 2193
T8 2328  T8I 291
T9 561  T9I 582
T10 1122  T10I 1164
T11 2244  T11I 2328

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 395Scale 395: Phrygian Pentatonic, Ian Ring Music TheoryPhrygian Pentatonic
Scale 397Scale 397: Aeolian Pentatonic, Ian Ring Music TheoryAeolian Pentatonic
Scale 385Scale 385, Ian Ring Music Theory
Scale 389Scale 389, Ian Ring Music Theory
Scale 401Scale 401: Epogic, Ian Ring Music TheoryEpogic
Scale 409Scale 409: Laritonic, Ian Ring Music TheoryLaritonic
Scale 425Scale 425: Raga Kokil Pancham, Ian Ring Music TheoryRaga Kokil Pancham
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 265Scale 265, Ian Ring Music Theory
Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 649Scale 649: Byptic, Ian Ring Music TheoryByptic
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 2441Scale 2441: Kyritonic, Ian Ring Music TheoryKyritonic

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