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Scale 4081: "Manygic"

Scale 4081: Manygic, 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
Manygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,4,5,6,7,8,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 511
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[4]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4081 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
3rd mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
4th mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
5th mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
6th mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
7th mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
8th mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
9th mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [4081, 511, 2303, 3199, 3647, 3871, 3983, 4039, 4067] (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 4081 is 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Transformations:

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

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 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 4089Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
Scale 4065Scale 4065, Ian Ring Music Theory
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 4049Scale 4049: Stycryllic, Ian Ring Music TheoryStycryllic
Scale 4017Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
Scale 3953Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic

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.