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Scale 1819: "Pydian"

Scale 1819: Pydian, 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
Pydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,8,9,10}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2845
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 1819 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2957
Scale 2957: Thygian, Ian Ring Music TheoryThygian
3rd mode:
Scale 1763
Scale 1763: Katalian, Ian Ring Music TheoryKatalian
4th mode:
Scale 2929
Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
5th mode:
Scale 439
Scale 439: Bythian, Ian Ring Music TheoryBythianThis is the prime mode
6th mode:
Scale 2267
Scale 2267: Padian, Ian Ring Music TheoryPadian
7th mode:
Scale 3181
Scale 3181: Rolian, Ian Ring Music TheoryRolian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [1819, 2957, 1763, 2929, 439, 2267, 3181] (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 1819 is 2845

Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1819 is chiral, and its enantiomorph is scale 2845

Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian

Transformations:

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

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 1817Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic
Scale 1821Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
Scale 1811Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1947Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic

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.