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Scale 2187: "Ionothitonic"

Scale 2187: Ionothitonic, 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
Ionothitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,7,11}
Forte Number5-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2595
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 279
Deep Scaleno
Interval Vector221311
Interval Spectrumpm3ns2d2t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {8,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2187 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3141
Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic
3rd mode:
Scale 1809
Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
4th mode:
Scale 369
Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
5th mode:
Scale 279
Scale 279: Poditonic, Ian Ring Music TheoryPoditonicThis is the prime mode

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Complement

The pentatonic modal family [2187, 3141, 1809, 369, 279] (Forte: 5-13) is the complement of the heptatonic modal family [375, 1815, 1905, 2235, 2955, 3165, 3525] (Forte: 7-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2187 is 2595

Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2187 is chiral, and its enantiomorph is scale 2595

Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic

Transformations:

T0 2187  T0I 2595
T1 279  T1I 1095
T2 558  T2I 2190
T3 1116  T3I 285
T4 2232  T4I 570
T5 369  T5I 1140
T6 738  T6I 2280
T7 1476  T7I 465
T8 2952  T8I 930
T9 1809  T9I 1860
T10 3618  T10I 3720
T11 3141  T11I 3345

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 2185Scale 2185: Dygic, Ian Ring Music TheoryDygic
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2183Scale 2183, Ian Ring Music Theory
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2219Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 139Scale 139, Ian Ring Music Theory
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi

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