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Scale 1525: "Sodyllic"

Scale 1525: Sodyllic, 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
Sodyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,4,5,6,7,8,10}
Forte Number8-21
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1375
Deep Scaleno
Interval Vector474643
Interval Spectrump4m6n4s7d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1525 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1405
Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
3rd mode:
Scale 1375
Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllicThis is the prime mode
4th mode:
Scale 2735
Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
5th mode:
Scale 3415
Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
6th mode:
Scale 3755
Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
7th mode:
Scale 3925
Scale 3925: Thyryllic, Ian Ring Music TheoryThyryllic
8th mode:
Scale 2005
Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic

Prime

The prime form of this scale is Scale 1375

Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic

Complement

The octatonic modal family [1525, 1405, 1375, 2735, 3415, 3755, 3925, 2005] (Forte: 8-21) is the complement of the tetratonic modal family [85, 1045, 1285, 1345] (Forte: 4-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1525 is itself, because it is a palindromic scale!

Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic

Transformations:

T0 1525  T0I 1525
T1 3050  T1I 3050
T2 2005  T2I 2005
T3 4010  T3I 4010
T4 3925  T4I 3925
T5 3755  T5I 3755
T6 3415  T6I 3415
T7 2735  T7I 2735
T8 1375  T8I 1375
T9 2750  T9I 2750
T10 1405  T10I 1405
T11 2810  T11I 2810

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 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 2037Scale 2037: Sythygic, Ian Ring Music TheorySythygic
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic

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.