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Scale 1901: "Ionidyllic"

Scale 1901: Ionidyllic, 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
Ionidyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,5,6,8,9,10}
Forte Number8-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1757
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes7
Prime?no
prime: 1463
Deep Scaleno
Interval Vector456553
Interval Spectrump5m5n6s5d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.25
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1901 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1499
Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
3rd mode:
Scale 2797
Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
4th mode:
Scale 1723
Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
5th mode:
Scale 2909
Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
6th mode:
Scale 1751
Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
7th mode:
Scale 2923
Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
8th mode:
Scale 3509
Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic

Prime

The prime form of this scale is Scale 1463

Scale 1463Scale 1463, Ian Ring Music Theory

Complement

The octatonic modal family [1901, 1499, 2797, 1723, 2909, 1751, 2923, 3509] (Forte: 8-27) is the complement of the tetratonic modal family [293, 593, 649, 1097] (Forte: 4-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1901 is 1757

Scale 1757Scale 1757, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1901 is chiral, and its enantiomorph is scale 1757

Scale 1757Scale 1757, Ian Ring Music Theory

Transformations:

T0 1901  T0I 1757
T1 3802  T1I 3514
T2 3509  T2I 2933
T3 2923  T3I 1771
T4 1751  T4I 3542
T5 3502  T5I 2989
T6 2909  T6I 1883
T7 1723  T7I 3766
T8 3446  T8I 3437
T9 2797  T9I 2779
T10 1499  T10I 1463
T11 2998  T11I 2926

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 1903Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
Scale 1897Scale 1897: Ionopian, Ian Ring Music TheoryIonopian
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 1909Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic
Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 1837Scale 1837: Dalian, Ian Ring Music TheoryDalian
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 1645Scale 1645: Dorian Flat 5, Ian Ring Music TheoryDorian Flat 5
Scale 1773Scale 1773: Blues Scale II, Ian Ring Music TheoryBlues Scale II
Scale 1389Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished
Scale 3949Scale 3949: Koptygic, Ian Ring Music TheoryKoptygic

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.