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Scale 2325: "Pynitonic"

Scale 2325: Pynitonic, 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

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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
Pynitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,8,11}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1299
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Balancedno
Ridge Tonesnone
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}210.67
Augmented TriadsC+{0,4,8}121
Diminished Triadsg♯°{8,11,2}121
Parsimonious Voice Leading Between Common Triads of Scale 2325. Created by Ian Ring ©2019 C+ C+ E E C+->E g#° g#° E->g#°

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 VerticesE
Peripheral VerticesC+, g♯°

Modes

Modes are the rotational transformation of this scale. Scale 2325 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1605
Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
3rd mode:
Scale 1425
Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
4th mode:
Scale 345
Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
5th mode:
Scale 555
Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [2325, 1605, 1425, 345, 555] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2325 is 1299

Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2325 is chiral, and its enantiomorph is scale 1299

Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic

Transformations:

T0 2325  T0I 1299
T1 555  T1I 2598
T2 1110  T2I 1101
T3 2220  T3I 2202
T4 345  T4I 309
T5 690  T5I 618
T6 1380  T6I 1236
T7 2760  T7I 2472
T8 1425  T8I 849
T9 2850  T9I 1698
T10 1605  T10I 3396
T11 3210  T11I 2697

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 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2309Scale 2309, Ian Ring Music Theory
Scale 2317Scale 2317, Ian Ring Music Theory
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.