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Scale 1763: "Katalian"

Scale 1763: Katalian, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Katalian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,7,9,10}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2285
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1763 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2929
Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
3rd mode:
Scale 439
Scale 439: Bythian, Ian Ring Music TheoryBythianThis is the prime mode
4th mode:
Scale 2267
Scale 2267: Padian, Ian Ring Music TheoryPadian
5th mode:
Scale 3181
Scale 3181: Rolian, Ian Ring Music TheoryRolian
6th mode:
Scale 1819
Scale 1819: Pydian, Ian Ring Music TheoryPydian
7th mode:
Scale 2957
Scale 2957: Thygian, Ian Ring Music TheoryThygian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [1763, 2929, 439, 2267, 3181, 1819, 2957] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1763 is 2285

Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1763 is chiral, and its enantiomorph is scale 2285

Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian

Transformations:

T0 1763  T0I 2285
T1 3526  T1I 475
T2 2957  T2I 950
T3 1819  T3I 1900
T4 3638  T4I 3800
T5 3181  T5I 3505
T6 2267  T6I 2915
T7 439  T7I 1735
T8 878  T8I 3470
T9 1756  T9I 2845
T10 3512  T10I 1595
T11 2929  T11I 3190

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 1761Scale 1761, Ian Ring Music Theory
Scale 1765Scale 1765: Lonian, Ian Ring Music TheoryLonian
Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1779Scale 1779: Zynyllic, Ian Ring Music TheoryZynyllic
Scale 1731Scale 1731, Ian Ring Music Theory
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1699Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1891Scale 1891: Thalian, Ian Ring Music TheoryThalian
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
Scale 1251Scale 1251: Sylimic, Ian Ring Music TheorySylimic
Scale 1507Scale 1507: Zynian, Ian Ring Music TheoryZynian
Scale 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.