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Scale 1687: "Phralian"

Scale 1687: Phralian, 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
Phralian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,7,9,10}
Forte Number7-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3373
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 733
Deep Scaleno
Interval Vector345342
Interval Spectrump4m3n5s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1687 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2891
Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
3rd mode:
Scale 3493
Scale 3493: Rathian, Ian Ring Music TheoryRathian
4th mode:
Scale 1897
Scale 1897: Ionopian, Ian Ring Music TheoryIonopian
5th mode:
Scale 749
Scale 749: Aeologian, Ian Ring Music TheoryAeologian
6th mode:
Scale 1211
Scale 1211: Zadian, Ian Ring Music TheoryZadian
7th mode:
Scale 2653
Scale 2653: Sygian, Ian Ring Music TheorySygian

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Complement

The heptatonic modal family [1687, 2891, 3493, 1897, 749, 1211, 2653] (Forte: 7-25) is the complement of the pentatonic modal family [301, 721, 1099, 1673, 2597] (Forte: 5-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1687 is 3373

Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1687 is chiral, and its enantiomorph is scale 3373

Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian

Transformations:

T0 1687  T0I 3373
T1 3374  T1I 2651
T2 2653  T2I 1207
T3 1211  T3I 2414
T4 2422  T4I 733
T5 749  T5I 1466
T6 1498  T6I 2932
T7 2996  T7I 1769
T8 1897  T8I 3538
T9 3794  T9I 2981
T10 3493  T10I 1867
T11 2891  T11I 3734

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 1685Scale 1685: Zeracrimic, Ian Ring Music TheoryZeracrimic
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1431Scale 1431: Phragian, Ian Ring Music TheoryPhragian
Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 3735Scale 3735, Ian Ring Music Theory

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.