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Scale 2033: "Stolyllic"

Scale 2033: Stolyllic, 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
Stolyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,4,5,6,7,8,9,10}
Forte Number8-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 509
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2033 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 383
Scale 383: Logyllic, Ian Ring Music TheoryLogyllicThis is the prime mode
3rd mode:
Scale 2239
Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
4th mode:
Scale 3167
Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic
5th mode:
Scale 3631
Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic
6th mode:
Scale 3863
Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
7th mode:
Scale 3979
Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic
8th mode:
Scale 4037
Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic

Complement

The octatonic modal family [2033, 383, 2239, 3167, 3631, 3863, 3979, 4037] (Forte: 8-2) is the complement of the tetratonic modal family [23, 1793, 2059, 3077] (Forte: 4-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2033 is 509

Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2033 is chiral, and its enantiomorph is scale 509

Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic

Transformations:

T0 2033  T0I 509
T1 4066  T1I 1018
T2 4037  T2I 2036
T3 3979  T3I 4072
T4 3863  T4I 4049
T5 3631  T5I 4003
T6 3167  T6I 3911
T7 2239  T7I 3727
T8 383  T8I 3359
T9 766  T9I 2623
T10 1532  T10I 1151
T11 3064  T11I 2302

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 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
Scale 2037Scale 2037: Sythygic, Ian Ring Music TheorySythygic
Scale 2041Scale 2041: Aeolacrygic, Ian Ring Music TheoryAeolacrygic
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 2025Scale 2025, Ian Ring Music Theory
Scale 2001Scale 2001: Gydian, Ian Ring Music TheoryGydian
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian
Scale 1905Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1009Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic

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