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Scale 1123: "Iwato"

Scale 1123: Iwato, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Common Names

Japanese
Iwato
Zeitler
Lanitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,5,6,10}
Forte Number5-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2245
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 355
Deep Scaleno
Interval Vector211231
Interval Spectrump3m2nsd2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,5,6}
<3> = {6,7,9}
<4> = {8,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1123 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2609
Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
3rd mode:
Scale 419
Scale 419: Hon-kumoi-joshi, Ian Ring Music TheoryHon-kumoi-joshi
4th mode:
Scale 2257
Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
5th mode:
Scale 397
Scale 397: Aeolian Pentatonic, Ian Ring Music TheoryAeolian Pentatonic

Prime

The prime form of this scale is Scale 355

Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic

Complement

The pentatonic modal family [1123, 2609, 419, 2257, 397] (Forte: 5-20) is the complement of the heptatonic modal family [743, 919, 1849, 2419, 2507, 3257, 3301] (Forte: 7-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1123 is 2245

Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1123 is chiral, and its enantiomorph is scale 2245

Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti

Transformations:

T0 1123  T0I 2245
T1 2246  T1I 395
T2 397  T2I 790
T3 794  T3I 1580
T4 1588  T4I 3160
T5 3176  T5I 2225
T6 2257  T6I 355
T7 419  T7I 710
T8 838  T8I 1420
T9 1676  T9I 2840
T10 3352  T10I 1585
T11 2609  T11I 3170

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 1121Scale 1121, Ian Ring Music Theory
Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form
Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
Scale 1091Scale 1091, Ian Ring Music Theory
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1059Scale 1059, Ian Ring Music Theory
Scale 1187Scale 1187: Kokin-joshi, Ian Ring Music TheoryKokin-joshi
Scale 1251Scale 1251: Sylimic, Ian Ring Music TheorySylimic
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 99Scale 99, Ian Ring Music Theory
Scale 611Scale 611: Anchihoye, Ian Ring Music TheoryAnchihoye
Scale 2147Scale 2147, Ian Ring Music Theory
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic

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