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Scale 1319: "Phronimic"

Scale 1319: Phronimic, 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
Phronimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,5,8,10}
Forte Number6-Z46
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3221
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 599
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1319 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2707
Scale 2707: Banimic, Ian Ring Music TheoryBanimic
3rd mode:
Scale 3401
Scale 3401: Palimic, Ian Ring Music TheoryPalimic
4th mode:
Scale 937
Scale 937: Stothimic, Ian Ring Music TheoryStothimic
5th mode:
Scale 629
Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
6th mode:
Scale 1181
Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic

Prime

The prime form of this scale is Scale 599

Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic

Complement

The hexatonic modal family [1319, 2707, 3401, 937, 629, 1181] (Forte: 6-Z46) is the complement of the hexatonic modal family [347, 1457, 1579, 1733, 2221, 2837] (Forte: 6-Z24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1319 is 3221

Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1319 is chiral, and its enantiomorph is scale 3221

Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic

Transformations:

T0 1319  T0I 3221
T1 2638  T1I 2347
T2 1181  T2I 599
T3 2362  T3I 1198
T4 629  T4I 2396
T5 1258  T5I 697
T6 2516  T6I 1394
T7 937  T7I 2788
T8 1874  T8I 1481
T9 3748  T9I 2962
T10 3401  T10I 1829
T11 2707  T11I 3658

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 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic
Scale 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 1383Scale 1383: Pynian, Ian Ring Music TheoryPynian
Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi
Scale 1063Scale 1063, Ian Ring Music Theory
Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1831Scale 1831: Pothian, Ian Ring Music TheoryPothian
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 807Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
Scale 2343Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian

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.