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Scale 3255: "Daryllic"

Scale 3255: Daryllic, 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.

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
Daryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,7,10,11}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3495
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
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3255 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3675
Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
3rd mode:
Scale 3885
Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
4th mode:
Scale 1995
Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic
5th mode:
Scale 3045
Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
6th mode:
Scale 1785
Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic
7th mode:
Scale 735
Scale 735: Sylyllic, Ian Ring Music TheorySylyllicThis is the prime mode
8th mode:
Scale 2415
Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [3255, 3675, 3885, 1995, 3045, 1785, 735, 2415] (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 3255 is 3495

Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3255 is chiral, and its enantiomorph is scale 3495

Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic

Transformations:

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

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 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3263Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3223Scale 3223: Thyphian, Ian Ring Music TheoryThyphian
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3383Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian

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. Bibliography