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Scale 2919: "Molyllic"

Scale 2919: Molyllic, 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
Molyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,5,6,8,9,11}
Forte Number8-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3291
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC♯{1,5,8}342.08
D{2,6,9}342
F{5,9,0}342.08
Minor Triadsdm{2,5,9}441.92
fm{5,8,0}342.15
f♯m{6,9,1}342.08
bm{11,2,6}342.23
Augmented TriadsC♯+{1,5,9}441.85
Diminished Triads{2,5,8}242.31
{5,8,11}242.38
f♯°{6,9,0}242.46
g♯°{8,11,2}242.46
{11,2,5}242.31
Parsimonious Voice Leading Between Common Triads of Scale 2919. Created by Ian Ring ©2019 C# C# C#+ C#+ C#->C#+ C#->d° fm fm C#->fm dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m d°->dm D D dm->D dm->b° D->f#m bm bm D->bm f°->fm g#° g#° f°->g#° fm->F f#° f#° F->f#° f#°->f#m g#°->bm b°->bm

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Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2919 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3507
Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
3rd mode:
Scale 3801
Scale 3801: Maptyllic, Ian Ring Music TheoryMaptyllic
4th mode:
Scale 987
Scale 987: Aeraptyllic, Ian Ring Music TheoryAeraptyllic
5th mode:
Scale 2541
Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
6th mode:
Scale 1659
Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
7th mode:
Scale 2877
Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
8th mode:
Scale 1743
Scale 1743: Epigyllic, Ian Ring Music TheoryEpigyllic

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic

Complement

The octatonic modal family [2919, 3507, 3801, 987, 2541, 1659, 2877, 1743] (Forte: 8-18) is the complement of the tetratonic modal family [147, 609, 777, 2121] (Forte: 4-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2919 is 3291

Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2919 is chiral, and its enantiomorph is scale 3291

Scale 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic

Transformations:

T0 2919  T0I 3291
T1 1743  T1I 2487
T2 3486  T2I 879
T3 2877  T3I 1758
T4 1659  T4I 3516
T5 3318  T5I 2937
T6 2541  T6I 1779
T7 987  T7I 3558
T8 1974  T8I 3021
T9 3948  T9I 1947
T10 3801  T10I 3894
T11 3507  T11I 3693

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 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3943Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7
Scale 1895Scale 1895: Salyllic, Ian Ring Music TheorySalyllic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.