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Scale 3559: "Thophygic"

Scale 3559: Thophygic, 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
Thophygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,5,6,7,8,10,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3319
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Maximally Evenno
Maximal Area Setno
Interior Area2.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3559 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3827
Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
3rd mode:
Scale 3961
Scale 3961: Zathygic, Ian Ring Music TheoryZathygic
4th mode:
Scale 1007
Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
5th mode:
Scale 2551
Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
6th mode:
Scale 3323
Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
7th mode:
Scale 3709
Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
8th mode:
Scale 1951
Scale 1951: Marygic, Ian Ring Music TheoryMarygic
9th mode:
Scale 3023
Scale 3023: Mothygic, Ian Ring Music TheoryMothygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [3559, 3827, 3961, 1007, 2551, 3323, 3709, 1951, 3023] (Forte: 9-5) is the complement of the tritonic modal family [67, 193, 2081] (Forte: 3-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3559 is 3319

Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3559 is chiral, and its enantiomorph is scale 3319

Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic

Transformations:

T0 3559  T0I 3319
T1 3023  T1I 2543
T2 1951  T2I 991
T3 3902  T3I 1982
T4 3709  T4I 3964
T5 3323  T5I 3833
T6 2551  T6I 3571
T7 1007  T7I 3047
T8 2014  T8I 1999
T9 4028  T9I 3998
T10 3961  T10I 3901
T11 3827  T11I 3707

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 3557Scale 3557, Ian Ring Music Theory
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3527Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
Scale 3543Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
Scale 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic

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.