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Scale 3199: "Thaptygic"

Scale 3199: Thaptygic, 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.

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
Thaptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,6,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 511
Deep Scaleno
Interval Vector876663
Interval Spectrump6m6n6s7d8t3
Distribution Spectra<1> = {1,4}
<2> = {2,5}
<3> = {3,6}
<4> = {4,7}
<5> = {5,8}
<6> = {6,9}
<7> = {7,10}
<8> = {8,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyyes
Balancedno
Ridge Tones[4]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3199 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
3rd mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
4th mode:
Scale 3983
Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
5th mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
6th mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
7th mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic
8th mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
9th mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [3199, 3647, 3871, 3983, 4039, 4067, 4081, 511, 2303] (Forte: 9-1) is the complement of the tritonic modal family [7, 2051, 3073] (Forte: 3-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3199 is 4039

Scale 4039Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic

Transformations:

T0 3199  T0I 4039
T1 2303  T1I 3983
T2 511  T2I 3871
T3 1022  T3I 3647
T4 2044  T4I 3199
T5 4088  T5I 2303
T6 4081  T6I 511
T7 4067  T7I 1022
T8 4039  T8I 2044
T9 3983  T9I 4088
T10 3871  T10I 4081
T11 3647  T11I 4067

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 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3195Scale 3195: Raryllic, Ian Ring Music TheoryRaryllic
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3167Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3263Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
Scale 3327Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 2175Scale 2175, Ian Ring Music Theory
Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
Scale 1151Scale 1151: Mythyllic, Ian Ring Music TheoryMythyllic

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. Bibliography