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Scale 2301: "Bydyllic"

Scale 2301: Bydyllic, 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
Bydyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,7,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2019
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 2301 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1599
Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
3rd mode:
Scale 2847
Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
4th mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
5th mode:
Scale 3783
Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
6th mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
7th mode:
Scale 4017
Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
8th mode:
Scale 507
Scale 507: Moryllic, Ian Ring Music TheoryMoryllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [2301, 1599, 2847, 3471, 3783, 3939, 4017, 507] (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 2301 is 2019

Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2301 is chiral, and its enantiomorph is scale 2019

Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic

Transformations:

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

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 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic
Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian
Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2237Scale 2237: Epothian, Ian Ring Music TheoryEpothian
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2429Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 253Scale 253, Ian Ring Music Theory
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic

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.