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Scale 2651: "Panian"

Scale 2651: Panian, 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.

Tonnetz Diagram

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



Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,6,9,11}
Forte Number7-25
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2891
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
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
Ridge Tonesnone

Harmonic Chords


Modes are the rotational transformation of this scale. Scale 2651 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3373
Scale 3373: Lodian, Ian Ring Music TheoryLodian
3rd mode:
Scale 1867
Scale 1867: Solian, Ian Ring Music TheorySolian
4th mode:
Scale 2981
Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
5th mode:
Scale 1769
Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
6th mode:
Scale 733
Scale 733: Donian, Ian Ring Music TheoryDonianThis is the prime mode
7th mode:
Scale 1207
Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian


The prime form of this scale is Scale 733

Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian


The heptatonic modal family [2651, 3373, 1867, 2981, 1769, 733, 1207] (Forte: 7-25) is the complement of the pentatonic modal family [301, 721, 1099, 1673, 2597] (Forte: 5-25)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2651 is 2891

Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian


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

Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian


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

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 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 3163Scale 3163: Rogian, Ian Ring Music TheoryRogian
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian

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. Bibliography