The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2391: "Molian"

Scale 2391: Molian, 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
Molian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,6,8,11}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3411
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2391 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3243
Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
3rd mode:
Scale 3669
Scale 3669: Mothian, Ian Ring Music TheoryMothian
4th mode:
Scale 1941
Scale 1941: Aeranian, Ian Ring Music TheoryAeranian
5th mode:
Scale 1509
Scale 1509: Ragian, Ian Ring Music TheoryRagian
6th mode:
Scale 1401
Scale 1401: Pagian, Ian Ring Music TheoryPagian
7th mode:
Scale 687
Scale 687: Aeolythian, Ian Ring Music TheoryAeolythianThis is the prime mode

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [2391, 3243, 3669, 1941, 1509, 1401, 687] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2391 is 3411

Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2391 is chiral, and its enantiomorph is scale 3411

Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic

Transformations:

T0 2391  T0I 3411
T1 687  T1I 2727
T2 1374  T2I 1359
T3 2748  T3I 2718
T4 1401  T4I 1341
T5 2802  T5I 2682
T6 1509  T6I 1269
T7 3018  T7I 2538
T8 1941  T8I 981
T9 3882  T9I 1962
T10 3669  T10I 3924
T11 3243  T11I 3753

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 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 2423Scale 2423, Ian Ring Music Theory
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2455Scale 2455: Bothian, Ian Ring Music TheoryBothian
Scale 2519Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 3415Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse

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.