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Scale 4017: "Dolyllic"

Scale 4017: Dolyllic, 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
Dolyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,4,5,7,8,9,10,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 447
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Deep Scaleno
Interval Vector655552
Interval Spectrump5m5n5s5d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4017 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 507
Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
3rd mode:
Scale 2301
Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
4th mode:
Scale 1599
Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
5th mode:
Scale 2847
Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
6th mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
7th mode:
Scale 3783
Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
8th mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [4017, 507, 2301, 1599, 2847, 3471, 3783, 3939] (Forte: 8-4) is the complement of the tetratonic modal family [39, 897, 2067, 3081] (Forte: 4-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4017 is 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4017 is chiral, and its enantiomorph is scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Transformations:

T0 4017  T0I 447
T1 3939  T1I 894
T2 3783  T2I 1788
T3 3471  T3I 3576
T4 2847  T4I 3057
T5 1599  T5I 2019
T6 3198  T6I 4038
T7 2301  T7I 3981
T8 507  T8I 3867
T9 1014  T9I 3639
T10 2028  T10I 3183
T11 4056  T11I 2271

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 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
Scale 4025Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
Scale 4001Scale 4001, Ian Ring Music Theory
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 3985Scale 3985: Thadian, Ian Ring Music TheoryThadian
Scale 4049Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic
Scale 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic
Scale 3889Scale 3889: Parian, Ian Ring Music TheoryParian
Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 1969Scale 1969: Stylian, Ian Ring Music TheoryStylian

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.