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Scale 2557: "Dothygic"

Scale 2557: Dothygic, 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
Dothygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,11}
Forte Number9-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2035
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
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 2557 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1663
Scale 1663: Lydygic, Ian Ring Music TheoryLydygic
3rd mode:
Scale 2879
Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
4th mode:
Scale 3487
Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
5th mode:
Scale 3791
Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
6th mode:
Scale 3943
Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
7th mode:
Scale 4019
Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
8th mode:
Scale 4057
Scale 4057: Phrygic, Ian Ring Music TheoryPhrygic
9th mode:
Scale 1019
Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic

Complement

The nonatonic modal family [2557, 1663, 2879, 3487, 3791, 3943, 4019, 4057, 1019] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2557 is 2035

Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2557 is chiral, and its enantiomorph is scale 2035

Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic

Transformations:

T0 2557  T0I 2035
T1 1019  T1I 4070
T2 2038  T2I 4045
T3 4076  T3I 3995
T4 4057  T4I 3895
T5 4019  T5I 3695
T6 3943  T6I 3295
T7 3791  T7I 2495
T8 3487  T8I 895
T9 2879  T9I 1790
T10 1663  T10I 3580
T11 3326  T11I 3065

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 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
Scale 2525Scale 2525: Aeolaryllic, Ian Ring Music TheoryAeolaryllic
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2429Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic

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.