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Scale 3367: "Moptian"

Scale 3367: Moptian, 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
Moptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,8,10,11}
Forte Number7-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3223
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 607
Deep Scaleno
Interval Vector445332
Interval Spectrump3m3n5s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {9,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3367 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3731
Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
3rd mode:
Scale 3913
Scale 3913: Bonian, Ian Ring Music TheoryBonian
4th mode:
Scale 1001
Scale 1001: Badian, Ian Ring Music TheoryBadian
5th mode:
Scale 637
Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
6th mode:
Scale 1183
Scale 1183: Sadian, Ian Ring Music TheorySadian
7th mode:
Scale 2639
Scale 2639: Dothian, Ian Ring Music TheoryDothian

Prime

The prime form of this scale is Scale 607

Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian

Complement

The heptatonic modal family [3367, 3731, 3913, 1001, 637, 1183, 2639] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3367 is 3223

Scale 3223Scale 3223: Thyphian, Ian Ring Music TheoryThyphian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3367 is chiral, and its enantiomorph is scale 3223

Scale 3223Scale 3223: Thyphian, Ian Ring Music TheoryThyphian

Transformations:

T0 3367  T0I 3223
T1 2639  T1I 2351
T2 1183  T2I 607
T3 2366  T3I 1214
T4 637  T4I 2428
T5 1274  T5I 761
T6 2548  T6I 1522
T7 1001  T7I 3044
T8 2002  T8I 1993
T9 4004  T9I 3986
T10 3913  T10I 3877
T11 3731  T11I 3659

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 3365Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
Scale 3371Scale 3371: Aeolylian, Ian Ring Music TheoryAeolylian
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3383Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
Scale 3335Scale 3335, Ian Ring Music Theory
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3399Scale 3399: Zonian, Ian Ring Music TheoryZonian
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
Scale 3879Scale 3879: Pathyllic, Ian Ring Music TheoryPathyllic
Scale 2343Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic

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.