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Scale 1459: "Phrygian Dominant"

Scale 1459: Phrygian Dominant, 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

Western Modern
Phrygian Dominant
Phrygian Major
Harmonic Major Inverse
Exoticisms
Spanish Romani
Dorico Flamenco
Altered Hungarian
Carnatic Mela
Mela Vakulabharanam
Carnatic Raga
Raga Jogiya
Unknown / Unsorted
Ahiri
Zilof
Humayun
Hindustani
Vativasantabhairavi
Arabic
Camel Scale
Maqam Hijaz-Nahawand
Iranian
Dastgāh-e Homāyoun
Jewish
Ahava Rabba
Freygish
Ancient Greek
Hitzaz
Western Altered
Mixolydian Flat 9 Flat 13
Zeitler
Ionalian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,5,7,8,10}
Forte Number7-32
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2485
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes6
Prime?no
prime: 859
Deep Scaleno
Interval Vector335442
Interval Spectrump4m4n5s3d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9}
<6> = {9,10,11}
Spectra Variation1.429
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicyes

Harmonic Chords

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}331.8
C♯{1,5,8}331.7
Minor Triadsc♯m{1,4,8}431.6
fm{5,8,0}232
a♯m{10,1,5}331.8
Augmented TriadsC+{0,4,8}331.7
Diminished Triadsc♯°{1,4,7}231.9
{4,7,10}232
{7,10,1}232
a♯°{10,1,4}231.9
Parsimonious Voice Leading Between Common Triads of Scale 1459. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° C->e° c#m c#m C+->c#m fm fm C+->fm c#°->c#m C# C# c#m->C# a#° a#° c#m->a#° C#->fm a#m a#m C#->a#m e°->g° g°->a#m a#°->a#m

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1459 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2777
Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
3rd mode:
Scale 859
Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrianThis is the prime mode
4th mode:
Scale 2477
Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
5th mode:
Scale 1643
Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6
6th mode:
Scale 2869
Scale 2869: Ionian Augmented, Ian Ring Music TheoryIonian Augmented
7th mode:
Scale 1741
Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished

Prime

The prime form of this scale is Scale 859

Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian

Complement

The heptatonic modal family [1459, 2777, 859, 2477, 1643, 2869, 1741] (Forte: 7-32) is the complement of the pentatonic modal family [595, 665, 805, 1225, 2345] (Forte: 5-32)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1459 is 2485

Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1459 is chiral, and its enantiomorph is scale 2485

Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major

Transformations:

T0 1459  T0I 2485
T1 2918  T1I 875
T2 1741  T2I 1750
T3 3482  T3I 3500
T4 2869  T4I 2905
T5 1643  T5I 1715
T6 3286  T6I 3430
T7 2477  T7I 2765
T8 859  T8I 1435
T9 1718  T9I 2870
T10 3436  T10I 1645
T11 2777  T11I 3290

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 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1443Scale 1443: Raga Phenadyuti, Ian Ring Music TheoryRaga Phenadyuti
Scale 1451Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1395Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1971Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 2483Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.