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Scale 1309: "Pogimic"

Scale 1309: Pogimic, 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

Zeitler
Pogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,4,8,10}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1813
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 343
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1309 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1351
Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
3rd mode:
Scale 2723
Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
4th mode:
Scale 3409
Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
5th mode:
Scale 469
Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
6th mode:
Scale 1141
Scale 1141: Rynimic, Ian Ring Music TheoryRynimic

Prime

The prime form of this scale is Scale 343

Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic

Complement

The hexatonic modal family [1309, 1351, 2723, 3409, 469, 1141] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1309 is 1813

Scale 1813Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1309 is chiral, and its enantiomorph is scale 1813

Scale 1813Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic

Transformations:

T0 1309  T0I 1813
T1 2618  T1I 3626
T2 1141  T2I 3157
T3 2282  T3I 2219
T4 469  T4I 343
T5 938  T5I 686
T6 1876  T6I 1372
T7 3752  T7I 2744
T8 3409  T8I 1393
T9 2723  T9I 2786
T10 1351  T10I 1477
T11 2702  T11I 2954

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 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 1301Scale 1301: Koditonic, Ian Ring Music TheoryKoditonic
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1053Scale 1053, Ian Ring Music Theory
Scale 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic
Scale 1565Scale 1565, Ian Ring Music Theory
Scale 1821Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
Scale 285Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic
Scale 797Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 3357Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian

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.