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Scale 2023: "Zodygic"

Scale 2023: Zodygic, 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
Zodygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,5,6,7,8,9,10}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3325
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2023 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3059
Scale 3059: Madygic, Ian Ring Music TheoryMadygic
3rd mode:
Scale 3577
Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
4th mode:
Scale 959
Scale 959: Katylygic, Ian Ring Music TheoryKatylygicThis is the prime mode
5th mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
6th mode:
Scale 3311
Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
7th mode:
Scale 3703
Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
8th mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
9th mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [2023, 3059, 3577, 959, 2527, 3311, 3703, 3899, 3997] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2023 is 3325

Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2023 is chiral, and its enantiomorph is scale 3325

Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic

Transformations:

T0 2023  T0I 3325
T1 4046  T1I 2555
T2 3997  T2I 1015
T3 3899  T3I 2030
T4 3703  T4I 4060
T5 3311  T5I 4025
T6 2527  T6I 3955
T7 959  T7I 3815
T8 1918  T8I 3535
T9 3836  T9I 2975
T10 3577  T10I 1855
T11 3059  T11I 3710

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 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 2019Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
Scale 2027Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
Scale 1991Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic
Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic
Scale 1895Scale 1895: Salyllic, Ian Ring Music TheorySalyllic
Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian

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.