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Scale 2219: "Phrydimic"

Scale 2219: Phrydimic, 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
Phrydimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,5,7,11}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2723
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.232
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
Minor Triadscm{0,3,7}110.5
Augmented TriadsD♯+{3,7,11}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2219. Created by Ian Ring ©2019 cm cm D#+ D#+ cm->D#+

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2219 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3157
Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
3rd mode:
Scale 1813
Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
4th mode:
Scale 1477
Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
5th mode:
Scale 1393
Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
6th mode:
Scale 343
Scale 343: Ionorimic, Ian Ring Music TheoryIonorimicThis is the prime mode

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic

Complement

The hexatonic modal family [2219, 3157, 1813, 1477, 1393, 343] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2219 is 2723

Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2219 is chiral, and its enantiomorph is scale 2723

Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika

Transformations:

T0 2219  T0I 2723
T1 343  T1I 1351
T2 686  T2I 2702
T3 1372  T3I 1309
T4 2744  T4I 2618
T5 1393  T5I 1141
T6 2786  T6I 2282
T7 1477  T7I 469
T8 2954  T8I 938
T9 1813  T9I 1876
T10 3626  T10I 3752
T11 3157  T11I 3409

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 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2223Scale 2223: Konian, Ian Ring Music TheoryKonian
Scale 2211Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2155Scale 2155, Ian Ring Music Theory
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2475Scale 2475: Neapolitan Minor, Ian Ring Music TheoryNeapolitan Minor
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
Scale 171Scale 171, Ian Ring Music Theory
Scale 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam

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.