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Scale 3033: "Doptyllic"

Scale 3033: Doptyllic, 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
Doptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,4,6,7,8,9,11}
Forte Number8-17
Rotational Symmetrynone
Reflection Axes1.5
Palindromicno
Chiralityno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 891
Deep Scaleno
Interval Vector546652
Interval Spectrump5m6n6s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[3]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3033 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 891
Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllicThis is the prime mode
3rd mode:
Scale 2493
Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
4th mode:
Scale 1647
Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
5th mode:
Scale 2871
Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
6th mode:
Scale 3483
Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
7th mode:
Scale 3789
Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
8th mode:
Scale 1971
Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic

Prime

The prime form of this scale is Scale 891

Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic

Complement

The octatonic modal family [3033, 891, 2493, 1647, 2871, 3483, 3789, 1971] (Forte: 8-17) is the complement of the tetratonic modal family [153, 531, 801, 2313] (Forte: 4-17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3033 is 891

Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic

Transformations:

T0 3033  T0I 891
T1 1971  T1I 1782
T2 3942  T2I 3564
T3 3789  T3I 3033
T4 3483  T4I 1971
T5 2871  T5I 3942
T6 1647  T6I 3789
T7 3294  T7I 3483
T8 2493  T8I 2871
T9 891  T9I 1647
T10 1782  T10I 3294
T11 3564  T11I 2493

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 3035Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 2969Scale 2969: Tholian, Ian Ring Music TheoryTholian
Scale 3001Scale 3001: Lonyllic, Ian Ring Music TheoryLonyllic
Scale 2905Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
Scale 2777Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani
Scale 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 4057Scale 4057: Phrygic, Ian Ring Music TheoryPhrygic
Scale 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 2009Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic

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