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Scale 3021: "Stodyllic"

Scale 3021: Stodyllic, 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
Stodyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,6,7,8,9,11}
Forte Number8-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1659
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3021 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1779
Scale 1779: Zynyllic, Ian Ring Music TheoryZynyllic
3rd mode:
Scale 2937
Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
4th mode:
Scale 879
Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllicThis is the prime mode
5th mode:
Scale 2487
Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
6th mode:
Scale 3291
Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
7th mode:
Scale 3693
Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
8th mode:
Scale 1947
Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic

Complement

The octatonic modal family [3021, 1779, 2937, 879, 2487, 3291, 3693, 1947] (Forte: 8-18) is the complement of the tetratonic modal family [147, 609, 777, 2121] (Forte: 4-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3021 is 1659

Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3021 is chiral, and its enantiomorph is scale 1659

Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban

Transformations:

T0 3021  T0I 1659
T1 1947  T1I 3318
T2 3894  T2I 2541
T3 3693  T3I 987
T4 3291  T4I 1974
T5 2487  T5I 3948
T6 879  T6I 3801
T7 1758  T7I 3507
T8 3516  T8I 2919
T9 2937  T9I 1743
T10 1779  T10I 3486
T11 3558  T11I 2877

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 3023Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani

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.