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Scale 2859: "Phrycrian"

Scale 2859: Phrycrian, 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
Phrycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,8,9,11}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2715
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2859 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3477
Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
3rd mode:
Scale 1893
Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
4th mode:
Scale 1497
Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
5th mode:
Scale 699
Scale 699: Aerothian, Ian Ring Music TheoryAerothianThis is the prime mode
6th mode:
Scale 2397
Scale 2397: Stagian, Ian Ring Music TheoryStagian
7th mode:
Scale 1623
Scale 1623: Lothian, Ian Ring Music TheoryLothian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [2859, 3477, 1893, 1497, 699, 2397, 1623] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2859 is 2715

Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2859 is chiral, and its enantiomorph is scale 2715

Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian

Transformations:

T0 2859  T0I 2715
T1 1623  T1I 1335
T2 3246  T2I 2670
T3 2397  T3I 1245
T4 699  T4I 2490
T5 1398  T5I 885
T6 2796  T6I 1770
T7 1497  T7I 3540
T8 2994  T8I 2985
T9 1893  T9I 1875
T10 3786  T10I 3750
T11 3477  T11I 3405

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 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 3371Scale 3371: Aeolylian, Ian Ring Music TheoryAeolylian
Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic
Scale 811Scale 811: Radimic, Ian Ring Music TheoryRadimic
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian

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.