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Scale 1005: "Radyllic"

Scale 1005: Radyllic, 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
Radyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,5,6,7,8,9}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1785
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 735
Deep Scaleno
Interval Vector556453
Interval Spectrump5m4n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1005 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1275
Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
3rd mode:
Scale 2685
Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
4th mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
5th mode:
Scale 2895
Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
6th mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
7th mode:
Scale 3795
Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
8th mode:
Scale 3945
Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [1005, 1275, 2685, 1695, 2895, 3495, 3795, 3945] (Forte: 8-13) is the complement of the tetratonic modal family [75, 705, 1545, 2085] (Forte: 4-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1005 is 1785

Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1005 is chiral, and its enantiomorph is scale 1785

Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic

Transformations:

T0 1005  T0I 1785
T1 2010  T1I 3570
T2 4020  T2I 3045
T3 3945  T3I 1995
T4 3795  T4I 3990
T5 3495  T5I 3885
T6 2895  T6I 3675
T7 1695  T7I 3255
T8 3390  T8I 2415
T9 2685  T9I 735
T10 1275  T10I 1470
T11 2550  T11I 2940

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 1007Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic
Scale 997Scale 997: Rycrian, Ian Ring Music TheoryRycrian
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1021Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 749Scale 749: Aeologian, Ian Ring Music TheoryAeologian
Scale 493Scale 493: Rygian, Ian Ring Music TheoryRygian
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic

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.