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Scale 2687: "Thacrygic"

Scale 2687: Thacrygic, 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
Thacrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,6,9,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4043
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2687 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3391
Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
3rd mode:
Scale 3743
Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
4th mode:
Scale 3919
Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
5th mode:
Scale 4007
Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
6th mode:
Scale 4051
Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
7th mode:
Scale 4073
Scale 4073: Sathygic, Ian Ring Music TheorySathygic
8th mode:
Scale 1021
Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
9th mode:
Scale 1279
Scale 1279: Sarygic, Ian Ring Music TheorySarygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [2687, 3391, 3743, 3919, 4007, 4051, 4073, 1021, 1279] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2687 is 4043

Scale 4043Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2687 is chiral, and its enantiomorph is scale 4043

Scale 4043Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic

Transformations:

T0 2687  T0I 4043
T1 1279  T1I 3991
T2 2558  T2I 3887
T3 1021  T3I 3679
T4 2042  T4I 3263
T5 4084  T5I 2431
T6 4073  T6I 767
T7 4051  T7I 1534
T8 4007  T8I 3068
T9 3919  T9I 2041
T10 3743  T10I 4082
T11 3391  T11I 4069

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 2685Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic
Scale 2671Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 2623Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2943Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
Scale 2175Scale 2175, Ian Ring Music Theory
Scale 2431Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
Scale 3199Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
Scale 639Scale 639: Ionaryllic, Ian Ring Music TheoryIonaryllic
Scale 1663Scale 1663: Lydygic, Ian Ring Music TheoryLydygic

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.