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Scale 3389: "Socryllic"

Scale 3389: Socryllic, 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
Socryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,8,10,11}
Forte Number8-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1943
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 751
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3389 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1871
Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
3rd mode:
Scale 2983
Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
4th mode:
Scale 3539
Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
5th mode:
Scale 3817
Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
6th mode:
Scale 989
Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
7th mode:
Scale 1271
Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
8th mode:
Scale 2683
Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic

Prime

The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory

Complement

The octatonic modal family [3389, 1871, 2983, 3539, 3817, 989, 1271, 2683] (Forte: 8-Z29) is the complement of the tetratonic modal family [139, 353, 1553, 2117] (Forte: 4-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3389 is 1943

Scale 1943Scale 1943, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3389 is chiral, and its enantiomorph is scale 1943

Scale 1943Scale 1943, Ian Ring Music Theory

Transformations:

T0 3389  T0I 1943
T1 2683  T1I 3886
T2 1271  T2I 3677
T3 2542  T3I 3259
T4 989  T4I 2423
T5 1978  T5I 751
T6 3956  T6I 1502
T7 3817  T7I 3004
T8 3539  T8I 1913
T9 2983  T9I 3826
T10 1871  T10I 3557
T11 3742  T11I 3019

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 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 3385Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
Scale 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian
Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
Scale 3517Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
Scale 3133Scale 3133, Ian Ring Music Theory
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3901Scale 3901: Bycrygic, Ian Ring Music TheoryBycrygic
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian

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.