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Scale 2975: "Aeroptygic"

Scale 2975: Aeroptygic, 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
Aeroptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,7,8,9,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3899
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2975 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
3rd mode:
Scale 3815
Scale 3815: Galygic, Ian Ring Music TheoryGalygic
4th mode:
Scale 3955
Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
5th mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
6th mode:
Scale 1015
Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
7th mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
8th mode:
Scale 3325
Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
9th mode:
Scale 1855
Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [2975, 3535, 3815, 3955, 4025, 1015, 2555, 3325, 1855] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2975 is 3899

Scale 3899Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2975 is chiral, and its enantiomorph is scale 3899

Scale 3899Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic

Transformations:

T0 2975  T0I 3899
T1 1855  T1I 3703
T2 3710  T2I 3311
T3 3325  T3I 2527
T4 2555  T4I 959
T5 1015  T5I 1918
T6 2030  T6I 3836
T7 4060  T7I 3577
T8 4025  T8I 3059
T9 3955  T9I 2023
T10 3815  T10I 4046
T11 3535  T11I 3997

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 2973Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 2959Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
Scale 2991Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 3039Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 3487Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
Scale 3999Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
Scale 927Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllic
Scale 1951Scale 1951: Marygic, Ian Ring Music TheoryMarygic

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.