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Scale 3541: "Racryllic"

Scale 3541: Racryllic, 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

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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
Racryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,4,6,7,8,10,11}
Forte Number8-24
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1399
Deep Scaleno
Interval Vector464743
Interval Spectrump4m7n4s6d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3541 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1909
Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic
3rd mode:
Scale 1501
Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
4th mode:
Scale 1399
Scale 1399: Syryllic, Ian Ring Music TheorySyryllicThis is the prime mode
5th mode:
Scale 2747
Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
6th mode:
Scale 3421
Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
7th mode:
Scale 1879
Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
8th mode:
Scale 2987
Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed

Prime

The prime form of this scale is Scale 1399

Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic

Complement

The octatonic modal family [3541, 1909, 1501, 1399, 2747, 3421, 1879, 2987] (Forte: 8-24) is the complement of the tetratonic modal family [277, 337, 1093, 1297] (Forte: 4-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3541 is 1399

Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic

Transformations:

T0 3541  T0I 1399
T1 2987  T1I 2798
T2 1879  T2I 1501
T3 3758  T3I 3002
T4 3421  T4I 1909
T5 2747  T5I 3818
T6 1399  T6I 3541
T7 2798  T7I 2987
T8 1501  T8I 1879
T9 3002  T9I 3758
T10 1909  T10I 3421
T11 3818  T11I 2747

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 3543Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 4053Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor

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.