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Scale 1307: "Katorimic"

Scale 1307: Katorimic, 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.

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
Katorimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,8,10}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2837
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 347
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1307 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2701
Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
3rd mode:
Scale 1699
Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali
4th mode:
Scale 2897
Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
5th mode:
Scale 437
Scale 437: Ronimic, Ian Ring Music TheoryRonimic
6th mode:
Scale 1133
Scale 1133: Stycrimic, Ian Ring Music TheoryStycrimic

Prime

The prime form of this scale is Scale 347

Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic

Complement

The hexatonic modal family [1307, 2701, 1699, 2897, 437, 1133] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1307 is 2837

Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1307 is chiral, and its enantiomorph is scale 2837

Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic

Transformations:

T0 1307  T0I 2837
T1 2614  T1I 1579
T2 1133  T2I 3158
T3 2266  T3I 2221
T4 437  T4I 347
T5 874  T5I 694
T6 1748  T6I 1388
T7 3496  T7I 2776
T8 2897  T8I 1457
T9 1699  T9I 2914
T10 3398  T10I 1733
T11 2701  T11I 3466

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 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1291Scale 1291, Ian Ring Music Theory
Scale 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1435Scale 1435: Makam Huzzam, Ian Ring Music TheoryMakam Huzzam
Scale 1051Scale 1051, Ian Ring Music Theory
Scale 1179Scale 1179: Sonimic, Ian Ring Music TheorySonimic
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian
Scale 283Scale 283: Aerylitonic, Ian Ring Music TheoryAerylitonic
Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian

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