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Scale 1617: "Phronitonic"

Scale 1617: Phronitonic, 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
Phronitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,6,9,10}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 333
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1617 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 357
Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
3rd mode:
Scale 1113
Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
4th mode:
Scale 651
Scale 651: Golitonic, Ian Ring Music TheoryGolitonic
5th mode:
Scale 2373
Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [1617, 357, 1113, 651, 2373] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1617 is 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1617 is chiral, and its enantiomorph is scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Transformations:

T0 1617  T0I 333
T1 3234  T1I 666
T2 2373  T2I 1332
T3 651  T3I 2664
T4 1302  T4I 1233
T5 2604  T5I 2466
T6 1113  T6I 837
T7 2226  T7I 1674
T8 357  T8I 3348
T9 714  T9I 2601
T10 1428  T10I 1107
T11 2856  T11I 2214

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 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic
Scale 1601Scale 1601, Ian Ring Music Theory
Scale 1609Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 1649Scale 1649: Bolimic, Ian Ring Music TheoryBolimic
Scale 1553Scale 1553, Ian Ring Music Theory
Scale 1585Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
Scale 1745Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic

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.