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Scale 2429: "Kadyllic"

Scale 2429: Kadyllic, Ian Ring Music Theory

Common Names

Zeitler
Kadyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,8,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2003
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2429 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1631
Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
3rd mode:
Scale 2863
Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
4th mode:
Scale 3479
Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
5th mode:
Scale 3787
Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
6th mode:
Scale 3941
Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
7th mode:
Scale 2009
Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic
8th mode:
Scale 763
Scale 763: Doryllic, Ian Ring Music TheoryDoryllicThis is the prime mode

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Complement

The octatonic modal family [2429, 1631, 2863, 3479, 3787, 3941, 2009, 763] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2429 is 2003

Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2429 is chiral, and its enantiomorph is scale 2003

Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic

Transformations:

T0 2429  T0I 2003
T1 763  T1I 4006
T2 1526  T2I 3917
T3 3052  T3I 3739
T4 2009  T4I 3383
T5 4018  T5I 2671
T6 3941  T6I 1247
T7 3787  T7I 2494
T8 3479  T8I 893
T9 2863  T9I 1786
T10 1631  T10I 3572
T11 3262  T11I 3049

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 2431Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
Scale 2425Scale 2425: Rorian, Ian Ring Music TheoryRorian
Scale 2427Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic
Scale 2421Scale 2421: Malian, Ian Ring Music TheoryMalian
Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2685Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
Scale 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic

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