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Scale 2363: "Kataptian"

Scale 2363: Kataptian, Ian Ring Music Theory

Common Names

Zeitler
Kataptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,8,11}
Forte Number7-Z17
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 631
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {4,5,7}
<4> = {5,7,8}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[4]
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2363 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3229
Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
3rd mode:
Scale 1831
Scale 1831: Pothian, Ian Ring Music TheoryPothian
4th mode:
Scale 2963
Scale 2963: Bygian, Ian Ring Music TheoryBygian
5th mode:
Scale 3529
Scale 3529: Stalian, Ian Ring Music TheoryStalian
6th mode:
Scale 953
Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
7th mode:
Scale 631
Scale 631: Zygian, Ian Ring Music TheoryZygianThis is the prime mode

Prime

The prime form of this scale is Scale 631

Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian

Complement

The heptatonic modal family [2363, 3229, 1831, 2963, 3529, 953, 631] (Forte: 7-Z17) is the complement of the pentatonic modal family [283, 433, 1571, 2189, 2833] (Forte: 5-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2363 is 2963

Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian

Transformations:

T0 2363  T0I 2963
T1 631  T1I 1831
T2 1262  T2I 3662
T3 2524  T3I 3229
T4 953  T4I 2363
T5 1906  T5I 631
T6 3812  T6I 1262
T7 3529  T7I 2524
T8 2963  T8I 953
T9 1831  T9I 1906
T10 3662  T10I 3812
T11 3229  T11I 3529

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 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2427Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic
Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian

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