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Scale 1101: "Stothitonic"

Scale 1101: Stothitonic, 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

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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
Stothitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,6,10}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1605
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1101 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1299
Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic
3rd mode:
Scale 2697
Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic
4th mode:
Scale 849
Scale 849: Aerynitonic, Ian Ring Music TheoryAerynitonic
5th mode:
Scale 309
Scale 309: Palitonic, Ian Ring Music TheoryPalitonicThis is the prime mode

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [1101, 1299, 2697, 849, 309] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1101 is 1605

Scale 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1101 is chiral, and its enantiomorph is scale 1605

Scale 1605Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic

Transformations:

T0 1101  T0I 1605
T1 2202  T1I 3210
T2 309  T2I 2325
T3 618  T3I 555
T4 1236  T4I 1110
T5 2472  T5I 2220
T6 849  T6I 345
T7 1698  T7I 690
T8 3396  T8I 1380
T9 2697  T9I 2760
T10 1299  T10I 1425
T11 2598  T11I 2850

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 1103Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
Scale 1097Scale 1097: Aeraphic, Ian Ring Music TheoryAeraphic
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1109Scale 1109: Kataditonic, Ian Ring Music TheoryKataditonic
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1133Scale 1133: Stycrimic, Ian Ring Music TheoryStycrimic
Scale 1037Scale 1037: Warao Tetratonic, Ian Ring Music TheoryWarao Tetratonic
Scale 1069Scale 1069, Ian Ring Music Theory
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 77Scale 77, Ian Ring Music Theory
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic

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.