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Scale 2921: "Pogian"

Scale 2921: Pogian, 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
Pogian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,6,8,9,11}
Forte Number7-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 731
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?no
prime: 731
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2921 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 877
Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
3rd mode:
Scale 1243
Scale 1243: Epylian, Ian Ring Music TheoryEpylian
4th mode:
Scale 2669
Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
5th mode:
Scale 1691
Scale 1691: Kathian, Ian Ring Music TheoryKathian
6th mode:
Scale 2893
Scale 2893: Lylian, Ian Ring Music TheoryLylian
7th mode:
Scale 1747
Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya

Prime

The prime form of this scale is Scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Complement

The heptatonic modal family [2921, 877, 1243, 2669, 1691, 2893, 1747] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2921 is 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2921 is chiral, and its enantiomorph is scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Transformations:

T0 2921  T0I 731
T1 1747  T1I 1462
T2 3494  T2I 2924
T3 2893  T3I 1753
T4 1691  T4I 3506
T5 3382  T5I 2917
T6 2669  T6I 1739
T7 1243  T7I 3478
T8 2486  T8I 2861
T9 877  T9I 1627
T10 1754  T10I 3254
T11 3508  T11I 2413

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 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2929Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
Scale 2937Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2905Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2985Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2409Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 3945Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
Scale 873Scale 873: Bagimic, Ian Ring Music TheoryBagimic
Scale 1897Scale 1897: Ionopian, Ian Ring Music TheoryIonopian

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.