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Scale 3871: "Aerynygic"

Scale 3871: Aerynygic, 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
Aerynygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,8,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
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[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3871 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
3rd mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
4th mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
5th mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic
6th mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
7th mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
8th mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
9th mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [3871, 3983, 4039, 4067, 4081, 511, 2303, 3199, 3647] (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 3871 is itself, because it is a palindromic scale!

Scale 3871Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic

Transformations:

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

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 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
Scale 3855Scale 3855, Ian Ring Music Theory
Scale 3887Scale 3887: Phrathygic, Ian Ring Music TheoryPhrathygic
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian
Scale 3999Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
Scale 3615Scale 3615, Ian Ring Music Theory
Scale 3743Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
Scale 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic

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.