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Scale 761: "Ponian"

Scale 761: Ponian, 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
Ponian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,5,6,7,9}
Forte Number7-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1001
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 607
Deep Scaleno
Interval Vector445332
Interval Spectrump3m3n5s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {9,10,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 761 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 607
Scale 607: Kadian, Ian Ring Music TheoryKadianThis is the prime mode
3rd mode:
Scale 2351
Scale 2351: Gynian, Ian Ring Music TheoryGynian
4th mode:
Scale 3223
Scale 3223: Thyphian, Ian Ring Music TheoryThyphian
5th mode:
Scale 3659
Scale 3659: Polian, Ian Ring Music TheoryPolian
6th mode:
Scale 3877
Scale 3877: Thanian, Ian Ring Music TheoryThanian
7th mode:
Scale 1993
Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian

Prime

The prime form of this scale is Scale 607

Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian

Complement

The heptatonic modal family [761, 607, 2351, 3223, 3659, 3877, 1993] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 761 is 1001

Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 761 is chiral, and its enantiomorph is scale 1001

Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian

Transformations:

T0 761  T0I 1001
T1 1522  T1I 2002
T2 3044  T2I 4004
T3 1993  T3I 3913
T4 3986  T4I 3731
T5 3877  T5I 3367
T6 3659  T6I 2639
T7 3223  T7I 1183
T8 2351  T8I 2366
T9 607  T9I 637
T10 1214  T10I 1274
T11 2428  T11I 2548

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 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 765Scale 765, Ian Ring Music Theory
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 757Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 729Scale 729: Stygimic, Ian Ring Music TheoryStygimic
Scale 697Scale 697: Lagimic, Ian Ring Music TheoryLagimic
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian
Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic
Scale 249Scale 249, Ian Ring Music Theory
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic
Scale 2809Scale 2809: Gythyllic, Ian Ring Music TheoryGythyllic

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.