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Scale 1181: "Katagimic"

Scale 1181: Katagimic, 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
Katagimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,4,7,10}
Forte Number6-Z46
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1829
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 599
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1181 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1319
Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic
3rd mode:
Scale 2707
Scale 2707: Banimic, Ian Ring Music TheoryBanimic
4th mode:
Scale 3401
Scale 3401: Palimic, Ian Ring Music TheoryPalimic
5th mode:
Scale 937
Scale 937: Stothimic, Ian Ring Music TheoryStothimic
6th mode:
Scale 629
Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic

Prime

The prime form of this scale is Scale 599

Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic

Complement

The hexatonic modal family [1181, 1319, 2707, 3401, 937, 629] (Forte: 6-Z46) is the complement of the hexatonic modal family [347, 1457, 1579, 1733, 2221, 2837] (Forte: 6-Z24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1181 is 1829

Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1181 is chiral, and its enantiomorph is scale 1829

Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic

Transformations:

T0 1181  T0I 1829
T1 2362  T1I 3658
T2 629  T2I 3221
T3 1258  T3I 2347
T4 2516  T4I 599
T5 937  T5I 1198
T6 1874  T6I 2396
T7 3748  T7I 697
T8 3401  T8I 1394
T9 2707  T9I 2788
T10 1319  T10I 1481
T11 2638  T11I 2962

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 1183Scale 1183: Sadian, Ian Ring Music TheorySadian
Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic
Scale 1179Scale 1179: Sonimic, Ian Ring Music TheorySonimic
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1245Scale 1245: Lathian, Ian Ring Music TheoryLathian
Scale 1053Scale 1053, Ian Ring Music Theory
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1693Scale 1693: Dogian, Ian Ring Music TheoryDogian
Scale 157Scale 157, Ian Ring Music Theory
Scale 669Scale 669: Gycrimic, Ian Ring Music TheoryGycrimic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 3229Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian

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.