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Scale 511: "Polygic"

Scale 511: Polygic, 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
Polygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,6,7,8}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?yes
Deep Scaleno
Interval Vector876663
Interval Spectrump6m6n6s7d8t3
Distribution Spectra<1> = {1,4}
<2> = {2,5}
<3> = {3,6}
<4> = {4,7}
<5> = {5,8}
<6> = {6,9}
<7> = {7,10}
<8> = {8,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyyes
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 511 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
3rd mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
4th mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
5th mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
6th mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
7th mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
8th mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
9th mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic

Prime

This is the prime form of this scale.

Complement

The nonatonic modal family [511, 2303, 3199, 3647, 3871, 3983, 4039, 4067, 4081] (Forte: 9-1) is the complement of the tritonic modal family [7, 2051, 3073] (Forte: 3-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 511 is 4081

Scale 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic

Transformations:

T0 511  T0I 4081
T1 1022  T1I 4067
T2 2044  T2I 4039
T3 4088  T3I 3983
T4 4081  T4I 3871
T5 4067  T5I 3647
T6 4039  T6I 3199
T7 3983  T7I 2303
T8 3871  T8I 511
T9 3647  T9I 1022
T10 3199  T10I 2044
T11 2303  T11I 4088

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 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic
Scale 255Scale 255, Ian Ring Music Theory
Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic
Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian

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.