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Scale 1015: "Ionodygic"

Scale 1015: Ionodygic, 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
Ionodygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,8,9}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3577
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 1015 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
3rd mode:
Scale 3325
Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
4th mode:
Scale 1855
Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
5th mode:
Scale 2975
Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
6th mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
7th mode:
Scale 3815
Scale 3815: Galygic, Ian Ring Music TheoryGalygic
8th mode:
Scale 3955
Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
9th mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [1015, 2555, 3325, 1855, 2975, 3535, 3815, 3955, 4025] (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 1015 is 3577

Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1015 is chiral, and its enantiomorph is scale 3577

Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic

Transformations:

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

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 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1011Scale 1011: Kycryllic, Ian Ring Music TheoryKycryllic
Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 1007Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
Scale 983Scale 983: Thocryllic, Ian Ring Music TheoryThocryllic
Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic
Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian

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.