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Scale 2865: "Solimic"

Scale 2865: Solimic, 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.

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
Solimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,8,9,11}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 411
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 411
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2865 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 435
Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
3rd mode:
Scale 2265
Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
4th mode:
Scale 795
Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
5th mode:
Scale 2445
Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
6th mode:
Scale 1635
Scale 1635: Sygimic, Ian Ring Music TheorySygimic

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [2865, 435, 2265, 795, 2445, 1635] (Forte: 6-Z19) is the complement of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225] (Forte: 6-Z44)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2865 is 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2865 is chiral, and its enantiomorph is scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Transformations:

T0 2865  T0I 411
T1 1635  T1I 822
T2 3270  T2I 1644
T3 2445  T3I 3288
T4 795  T4I 2481
T5 1590  T5I 867
T6 3180  T6I 1734
T7 2265  T7I 3468
T8 435  T8I 2841
T9 870  T9I 1587
T10 1740  T10I 3174
T11 3480  T11I 2253

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 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2869Scale 2869: Ionian Augmented, Ian Ring Music TheoryIonian Augmented
Scale 2873Scale 2873: Ionian Augmented Sharp 2, Ian Ring Music TheoryIonian Augmented Sharp 2
Scale 2849Scale 2849, Ian Ring Music Theory
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
Scale 2929Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija
Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
Scale 3889Scale 3889: Parian, Ian Ring Music TheoryParian
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 1841Scale 1841: Thogimic, Ian Ring Music TheoryThogimic

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. Bibliography