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Scale 1455: "Phrygiolian"

Scale 1455: Phrygiolian, 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

Western Mixed
Phrygiolian
Phrygian/Aeolian Mixed
Zeitler
Soryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,7,8,10}
Forte Number8-23
Rotational Symmetrynone
Reflection Axes1.5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections1
Modes7
Prime?yes
Deep Scaleno
Interval Vector465472
Interval Spectrump7m4n5s6d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6,7}
<5> = {7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[3]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1455 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2775
Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
3rd mode:
Scale 3435
Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
4th mode:
Scale 3765
Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
5th mode:
Scale 1965
Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
6th mode:
Scale 1515
Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
7th mode:
Scale 2805
Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
8th mode:
Scale 1725
Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop

Prime

This is the prime form of this scale.

Complement

The octatonic modal family [1455, 2775, 3435, 3765, 1965, 1515, 2805, 1725] (Forte: 8-23) is the complement of the tetratonic modal family [165, 645, 1065, 1185] (Forte: 4-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1455 is 3765

Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop

Transformations:

T0 1455  T0I 3765
T1 2910  T1I 3435
T2 1725  T2I 2775
T3 3450  T3I 1455
T4 2805  T4I 2910
T5 1515  T5I 1725
T6 3030  T6I 3450
T7 1965  T7I 2805
T8 3930  T8I 1515
T9 3765  T9I 3030
T10 3435  T10I 1965
T11 2775  T11I 3930

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 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 1451Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
Scale 1447Scale 1447: Mela Ratnangi, Ian Ring Music TheoryMela Ratnangi
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic
Scale 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian
Scale 1439Scale 1439: Rolyllic, Ian Ring Music TheoryRolyllic
Scale 1487Scale 1487: Mothyllic, Ian Ring Music TheoryMothyllic
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic
Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1967Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian
Scale 943Scale 943: Aerygyllic, Ian Ring Music TheoryAerygyllic
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic

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.