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Scale 3497: "Phrolian"

Scale 3497: Phrolian, 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
Phrolian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,7,8,10,11}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 695
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
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 3497 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 949
Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
3rd mode:
Scale 1261
Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
4th mode:
Scale 1339
Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
5th mode:
Scale 2717
Scale 2717: Epygian, Ian Ring Music TheoryEpygian
6th mode:
Scale 1703
Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
7th mode:
Scale 2899
Scale 2899: Kagian, Ian Ring Music TheoryKagian

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [3497, 949, 1261, 1339, 2717, 1703, 2899] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3497 is 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3497 is chiral, and its enantiomorph is scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Transformations:

T0 3497  T0I 695
T1 2899  T1I 1390
T2 1703  T2I 2780
T3 3406  T3I 1465
T4 2717  T4I 2930
T5 1339  T5I 1765
T6 2678  T6I 3530
T7 1261  T7I 2965
T8 2522  T8I 1835
T9 949  T9I 3670
T10 1898  T10I 3245
T11 3796  T11I 2395

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 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 3513Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
Scale 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 3369Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3753Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2985Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam

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.