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Scale 1271: "Kolyllic"

Scale 1271: Kolyllic, 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
Kolyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,6,7,10}
Forte Number8-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3557
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 751
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1271 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2683
Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
3rd mode:
Scale 3389
Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
4th mode:
Scale 1871
Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
5th mode:
Scale 2983
Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
6th mode:
Scale 3539
Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
7th mode:
Scale 3817
Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
8th mode:
Scale 989
Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic

Prime

The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory

Complement

The octatonic modal family [1271, 2683, 3389, 1871, 2983, 3539, 3817, 989] (Forte: 8-Z29) is the complement of the tetratonic modal family [139, 353, 1553, 2117] (Forte: 4-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1271 is 3557

Scale 3557Scale 3557, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1271 is chiral, and its enantiomorph is scale 3557

Scale 3557Scale 3557, Ian Ring Music Theory

Transformations:

T0 1271  T0I 3557
T1 2542  T1I 3019
T2 989  T2I 1943
T3 1978  T3I 3886
T4 3956  T4I 3677
T5 3817  T5I 3259
T6 3539  T6I 2423
T7 2983  T7I 751
T8 1871  T8I 1502
T9 3742  T9I 3004
T10 3389  T10I 1913
T11 2683  T11I 3826

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 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian
Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1275Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
Scale 1279Scale 1279: Sarygic, Ian Ring Music TheorySarygic
Scale 1255Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian
Scale 1263Scale 1263: Stynyllic, Ian Ring Music TheoryStynyllic
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
Scale 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian
Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian
Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
Scale 247Scale 247, Ian Ring Music Theory
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic

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.