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Scale 3303: "Mylyllic"

Scale 3303: Mylyllic, 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
Mylyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,5,6,7,10,11}
Forte Number8-8
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 927
Deep Scaleno
Interval Vector644563
Interval Spectrump6m5n4s4d6t3
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5}
<4> = {4,6,8}
<5> = {7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.5
Myhill Propertyno
Balancedno
Ridge Tones[0]
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 TriadsF♯{6,10,1}331.67
G{7,11,2}242
A♯{10,2,5}331.67
Minor Triadsgm{7,10,2}331.67
a♯m{10,1,5}242
bm{11,2,6}331.67
Augmented TriadsD+{2,6,10}421.33
Diminished Triads{7,10,1}242
{11,2,5}242
Parsimonious Voice Leading Between Common Triads of Scale 3303. Created by Ian Ring ©2019 D+ D+ F# F# D+->F# gm gm D+->gm A# A# D+->A# bm bm D+->bm F#->g° a#m a#m F#->a#m g°->gm Parsimonious Voice Leading Between Common Triads of Scale 3303. Created by Ian Ring ©2019 G gm->G G->bm a#m->A# A#->b° 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
Radius2
Self-Centeredno
Central VerticesD+
Peripheral Verticesg°, G, a♯m, b°

Modes

Modes are the rotational transformation of this scale. Scale 3303 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3699
Scale 3699: Galyllic, Ian Ring Music TheoryGalyllic
3rd mode:
Scale 3897
Scale 3897: Kalyllic, Ian Ring Music TheoryKalyllic
4th mode:
Scale 999
Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
5th mode:
Scale 2547
Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
6th mode:
Scale 3321
Scale 3321: Epagyllic, Ian Ring Music TheoryEpagyllic
7th mode:
Scale 927
Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllicThis is the prime mode
8th mode:
Scale 2511
Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic

Prime

The prime form of this scale is Scale 927

Scale 927Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllic

Complement

The octatonic modal family [3303, 3699, 3897, 999, 2547, 3321, 927, 2511] (Forte: 8-8) is the complement of the tetratonic modal family [99, 387, 2097, 2241] (Forte: 4-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3303 is itself, because it is a palindromic scale!

Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic

Transformations:

T0 3303  T0I 3303
T1 2511  T1I 2511
T2 927  T2I 927
T3 1854  T3I 1854
T4 3708  T4I 3708
T5 3321  T5I 3321
T6 2547  T6I 2547
T7 999  T7I 999
T8 1998  T8I 1998
T9 3996  T9I 3996
T10 3897  T10I 3897
T11 3699  T11I 3699

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 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3299Scale 3299: Syptian, Ian Ring Music TheorySyptian
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3175Scale 3175: Eponian, Ian Ring Music TheoryEponian
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3559Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 2279Scale 2279: Dyrian, Ian Ring Music TheoryDyrian
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 1255Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.