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Scale 2891: "Phrogian"

Scale 2891: Phrogian, 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
Phrogian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,6,8,9,11}
Forte Number7-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2651
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 2891 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3493
Scale 3493: Rathian, Ian Ring Music TheoryRathian
3rd mode:
Scale 1897
Scale 1897: Ionopian, Ian Ring Music TheoryIonopian
4th mode:
Scale 749
Scale 749: Aeologian, Ian Ring Music TheoryAeologian
5th mode:
Scale 1211
Scale 1211: Zadian, Ian Ring Music TheoryZadian
6th mode:
Scale 2653
Scale 2653: Sygian, Ian Ring Music TheorySygian
7th mode:
Scale 1687
Scale 1687: Phralian, Ian Ring Music TheoryPhralian

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian

Complement

The heptatonic modal family [2891, 3493, 1897, 749, 1211, 2653, 1687] (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 2891 is 2651

Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2891 is chiral, and its enantiomorph is scale 2651

Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian

Transformations:

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

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 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2895Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 3403Scale 3403: Bylian, Ian Ring Music TheoryBylian
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 843Scale 843: Molimic, Ian Ring Music TheoryMolimic
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian

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.