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Scale 3983: "Thyptygic"

Scale 3983: Thyptygic, 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
Thyptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,7,8,9,10,11}
Forte Number9-1
Rotational Symmetrynone
Reflection Axes5
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
Maximal Area Setno
Interior Area2.433
Myhill Propertyyes
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3983 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4039
Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
3rd mode:
Scale 4067
Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
4th mode:
Scale 4081
Scale 4081: Manygic, Ian Ring Music TheoryManygic
5th mode:
Scale 511
Scale 511: Polygic, Ian Ring Music TheoryPolygicThis is the prime mode
6th mode:
Scale 2303
Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
7th mode:
Scale 3199
Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
8th mode:
Scale 3647
Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
9th mode:
Scale 3871
Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic

Prime

The prime form of this scale is Scale 511

Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic

Complement

The nonatonic modal family [3983, 4039, 4067, 4081, 511, 2303, 3199, 3647, 3871] (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 3983 is 3647

Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic

Transformations:

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

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 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
Scale 3979Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic
Scale 3975Scale 3975, Ian Ring Music Theory
Scale 3991Scale 3991: Badygic, Ian Ring Music TheoryBadygic
Scale 3999Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 4047Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
Scale 3855Scale 3855, Ian Ring Music Theory
Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
Scale 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
Scale 3471Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
Scale 2959Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
Scale 1935Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic

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.