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Scale 1957: "Pyrian"

Scale 1957: Pyrian, 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
Pyrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,7,8,9,10}
Forte Number7-23
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1213
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 701
Deep Scaleno
Interval Vector354351
Interval Spectrump5m3n4s5d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1957 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1513
Scale 1513: Stathian, Ian Ring Music TheoryStathian
3rd mode:
Scale 701
Scale 701: Mixonyphian, Ian Ring Music TheoryMixonyphianThis is the prime mode
4th mode:
Scale 1199
Scale 1199: Magian, Ian Ring Music TheoryMagian
5th mode:
Scale 2647
Scale 2647: Dadian, Ian Ring Music TheoryDadian
6th mode:
Scale 3371
Scale 3371: Aeolylian, Ian Ring Music TheoryAeolylian
7th mode:
Scale 3733
Scale 3733: Gycrian, Ian Ring Music TheoryGycrian

Prime

The prime form of this scale is Scale 701

Scale 701Scale 701: Mixonyphian, Ian Ring Music TheoryMixonyphian

Complement

The heptatonic modal family [1957, 1513, 701, 1199, 2647, 3371, 3733] (Forte: 7-23) is the complement of the pentatonic modal family [173, 1067, 1441, 1669, 2581] (Forte: 5-23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1957 is 1213

Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1957 is chiral, and its enantiomorph is scale 1213

Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian

Transformations:

T0 1957  T0I 1213
T1 3914  T1I 2426
T2 3733  T2I 757
T3 3371  T3I 1514
T4 2647  T4I 3028
T5 1199  T5I 1961
T6 2398  T6I 3922
T7 701  T7I 3749
T8 1402  T8I 3403
T9 2804  T9I 2711
T10 1513  T10I 1327
T11 3026  T11I 2654

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 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 1973Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1941Scale 1941: Aeranian, Ian Ring Music TheoryAeranian
Scale 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 4005Scale 4005, Ian Ring Music Theory

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.