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Scale 2267: "Padian"

Scale 2267: Padian, 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
Padian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,6,7,11}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2915
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2267 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3181
Scale 3181: Rolian, Ian Ring Music TheoryRolian
3rd mode:
Scale 1819
Scale 1819: Pydian, Ian Ring Music TheoryPydian
4th mode:
Scale 2957
Scale 2957: Thygian, Ian Ring Music TheoryThygian
5th mode:
Scale 1763
Scale 1763: Katalian, Ian Ring Music TheoryKatalian
6th mode:
Scale 2929
Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
7th mode:
Scale 439
Scale 439: Bythian, Ian Ring Music TheoryBythianThis is the prime mode

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [2267, 3181, 1819, 2957, 1763, 2929, 439] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2267 is 2915

Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2267 is chiral, and its enantiomorph is scale 2915

Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian

Transformations:

T0 2267  T0I 2915
T1 439  T1I 1735
T2 878  T2I 3470
T3 1756  T3I 2845
T4 3512  T4I 1595
T5 2929  T5I 3190
T6 1763  T6I 2285
T7 3526  T7I 475
T8 2957  T8I 950
T9 1819  T9I 1900
T10 3638  T10I 3800
T11 3181  T11I 3505

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 2265Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2523Scale 2523: Rygyllic, Ian Ring Music TheoryRygyllic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian
Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian

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.