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Scale 2551: "Thocrygic"

Scale 2551: Thocrygic, 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
Thocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,8,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3571
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2551 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3323
Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
3rd mode:
Scale 3709
Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
4th mode:
Scale 1951
Scale 1951: Marygic, Ian Ring Music TheoryMarygic
5th mode:
Scale 3023
Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
6th mode:
Scale 3559
Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
7th mode:
Scale 3827
Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
8th mode:
Scale 3961
Scale 3961: Zathygic, Ian Ring Music TheoryZathygic
9th mode:
Scale 1007
Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [2551, 3323, 3709, 1951, 3023, 3559, 3827, 3961, 1007] (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 2551 is 3571

Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2551 is chiral, and its enantiomorph is scale 3571

Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic

Transformations:

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

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 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
Scale 2519Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
Scale 2487Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
Scale 2423Scale 2423, Ian Ring Music Theory
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic

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.