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Scale 1233: "Ionoditonic"

Scale 1233: Ionoditonic, 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
Ionoditonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,6,7,10}
Forte Number5-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 357
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 333
Deep Scaleno
Interval Vector122212
Interval Spectrumpm2n2s2dt2
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1233 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 333
Scale 333: Bogitonic, Ian Ring Music TheoryBogitonicThis is the prime mode
3rd mode:
Scale 1107
Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
4th mode:
Scale 2601
Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
5th mode:
Scale 837
Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic

Prime

The prime form of this scale is Scale 333

Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic

Complement

The pentatonic modal family [1233, 333, 1107, 2601, 837] (Forte: 5-28) is the complement of the heptatonic modal family [747, 1431, 1629, 1881, 2421, 2763, 3429] (Forte: 7-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1233 is 357

Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1233 is chiral, and its enantiomorph is scale 357

Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic

Transformations:

T0 1233  T0I 357
T1 2466  T1I 714
T2 837  T2I 1428
T3 1674  T3I 2856
T4 3348  T4I 1617
T5 2601  T5I 3234
T6 1107  T6I 2373
T7 2214  T7I 651
T8 333  T8I 1302
T9 666  T9I 2604
T10 1332  T10I 1113
T11 2664  T11I 2226

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 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1745Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
Scale 209Scale 209, Ian Ring Music Theory
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta

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.