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Scale 377: "Kathimic"

Scale 377: Kathimic, Ian Ring Music Theory

Common Names

Zeitler
Kathimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,5,6,8}
Forte Number6-Z39
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 977
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 317
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 377 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 559
Scale 559: Lylimic, Ian Ring Music TheoryLylimic
3rd mode:
Scale 2327
Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
4th mode:
Scale 3211
Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
5th mode:
Scale 3653
Scale 3653: Sathimic, Ian Ring Music TheorySathimic
6th mode:
Scale 1937
Scale 1937: Galimic, Ian Ring Music TheoryGalimic

Prime

The prime form of this scale is Scale 317

Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic

Complement

The hexatonic modal family [377, 559, 2327, 3211, 3653, 1937] (Forte: 6-Z39) is the complement of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461] (Forte: 6-Z10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 377 is 977

Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 377 is chiral, and its enantiomorph is scale 977

Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic

Transformations:

T0 377  T0I 977
T1 754  T1I 1954
T2 1508  T2I 3908
T3 3016  T3I 3721
T4 1937  T4I 3347
T5 3874  T5I 2599
T6 3653  T6I 1103
T7 3211  T7I 2206
T8 2327  T8I 317
T9 559  T9I 634
T10 1118  T10I 1268
T11 2236  T11I 2536

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 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian
Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 361Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic
Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
Scale 313Scale 313: Goritonic, Ian Ring Music TheoryGoritonic
Scale 441Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 121Scale 121, Ian Ring Music Theory
Scale 249Scale 249, Ian Ring Music Theory
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian
Scale 1401Scale 1401: Pagian, Ian Ring Music TheoryPagian
Scale 2425Scale 2425: Rorian, Ian Ring Music TheoryRorian

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