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Scale 1011: "Kycryllic"

Scale 1011: Kycryllic, 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

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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
Kycryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,4,5,6,7,8,9}
Forte Number8-7
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 831
Deep Scaleno
Interval Vector645652
Interval Spectrump5m6n5s4d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[1]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1011 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2553
Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
3rd mode:
Scale 831
Scale 831: Rodyllic, Ian Ring Music TheoryRodyllicThis is the prime mode
4th mode:
Scale 2463
Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
5th mode:
Scale 3279
Scale 3279: Pythyllic, Ian Ring Music TheoryPythyllic
6th mode:
Scale 3687
Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
7th mode:
Scale 3891
Scale 3891: Ryryllic, Ian Ring Music TheoryRyryllic
8th mode:
Scale 3993
Scale 3993: Ioniptyllic, Ian Ring Music TheoryIoniptyllic

Prime

The prime form of this scale is Scale 831

Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic

Complement

The octatonic modal family [1011, 2553, 831, 2463, 3279, 3687, 3891, 3993] (Forte: 8-7) is the complement of the tetratonic modal family [51, 771, 2073, 2433] (Forte: 4-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1011 is 2553

Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic

Transformations:

T0 1011  T0I 2553
T1 2022  T1I 1011
T2 4044  T2I 2022
T3 3993  T3I 4044
T4 3891  T4I 3993
T5 3687  T5I 3891
T6 3279  T6I 3687
T7 2463  T7I 3279
T8 831  T8I 2463
T9 1662  T9I 831
T10 3324  T10I 1662
T11 2553  T11I 3324

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 1009Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 995Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic
Scale 979Scale 979: Mela Dhavalambari, Ian Ring Music TheoryMela Dhavalambari
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 883Scale 883: Ralian, Ian Ring Music TheoryRalian
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic

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