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Scale 3439: "Lythygic"

Scale 3439: Lythygic, 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
Lythygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,8,10,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3799
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3439 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
3rd mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
4th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
5th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
6th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
7th mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
8th mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
9th mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [3439, 3767, 3931, 4013, 2027, 3061, 1789, 1471, 2783] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3439 is 3799

Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3439 is chiral, and its enantiomorph is scale 3799

Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic

Transformations:

T0 3439  T0I 3799
T1 2783  T1I 3503
T2 1471  T2I 2911
T3 2942  T3I 1727
T4 1789  T4I 3454
T5 3578  T5I 2813
T6 3061  T6I 1531
T7 2027  T7I 3062
T8 4054  T8I 2029
T9 4013  T9I 4058
T10 3931  T10I 4021
T11 3767  T11I 3947

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 3437Scale 3437, Ian Ring Music Theory
Scale 3435Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3447Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3407Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3951Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic

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.