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Scale 3565: "Aeolorygic"

Scale 3565: Aeolorygic, 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

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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
Aeolorygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,5,6,7,8,10,11}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1783
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3565 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1915
Scale 1915: Thydygic, Ian Ring Music TheoryThydygic
3rd mode:
Scale 3005
Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
4th mode:
Scale 1775
Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygicThis is the prime mode
5th mode:
Scale 2935
Scale 2935: Modygic, Ian Ring Music TheoryModygic
6th mode:
Scale 3515
Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
7th mode:
Scale 3805
Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic
8th mode:
Scale 1975
Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
9th mode:
Scale 3035
Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [3565, 1915, 3005, 1775, 2935, 3515, 3805, 1975, 3035] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3565 is 1783

Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3565 is chiral, and its enantiomorph is scale 1783

Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale

Transformations:

T0 3565  T0I 1783
T1 3035  T1I 3566
T2 1975  T2I 3037
T3 3950  T3I 1979
T4 3805  T4I 3958
T5 3515  T5I 3821
T6 2935  T6I 3547
T7 1775  T7I 2999
T8 3550  T8I 1903
T9 3005  T9I 3806
T10 1915  T10I 3517
T11 3830  T11I 2939

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 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3309Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 4077Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic

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.