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Scale 2323: "Doptitonic"

Scale 2323: Doptitonic, 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
Doptitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,8,11}
Forte Number5-Z37
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 313
Deep Scaleno
Interval Vector212320
Interval Spectrump2m3n2sd2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsE{4,8,11}121
Minor Triadsc♯m{1,4,8}121
Augmented TriadsC+{0,4,8}210.67
Parsimonious Voice Leading Between Common Triads of Scale 2323. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius1
Self-Centeredno
Central VerticesC+
Peripheral Verticesc♯m, E

Modes

Modes are the rotational transformation of this scale. Scale 2323 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3209
Scale 3209: Aeraphitonic, Ian Ring Music TheoryAeraphitonic
3rd mode:
Scale 913
Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
4th mode:
Scale 313
Scale 313: Goritonic, Ian Ring Music TheoryGoritonicThis is the prime mode
5th mode:
Scale 551
Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic

Prime

The prime form of this scale is Scale 313

Scale 313Scale 313: Goritonic, Ian Ring Music TheoryGoritonic

Complement

The pentatonic modal family [2323, 3209, 913, 313, 551] (Forte: 5-Z37) is the complement of the heptatonic modal family [443, 1591, 1891, 2269, 2843, 2993, 3469] (Forte: 7-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2323 is itself, because it is a palindromic scale!

Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic

Transformations:

T0 2323  T0I 2323
T1 551  T1I 551
T2 1102  T2I 1102
T3 2204  T3I 2204
T4 313  T4I 313
T5 626  T5I 626
T6 1252  T6I 1252
T7 2504  T7I 2504
T8 913  T8I 913
T9 1826  T9I 1826
T10 3652  T10I 3652
T11 3209  T11I 3209

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 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2355Scale 2355: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
Scale 2579Scale 2579, Ian Ring Music Theory
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic
Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.