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Scale 3571: "Dyrygic"

Scale 3571: Dyrygic, 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
Dyrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,4,5,6,7,8,10,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2551
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 3571 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3833
Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
3rd mode:
Scale 991
Scale 991: Aeolygic, Ian Ring Music TheoryAeolygicThis is the prime mode
4th mode:
Scale 2543
Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
5th mode:
Scale 3319
Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
6th mode:
Scale 3707
Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
7th mode:
Scale 3901
Scale 3901: Bycrygic, Ian Ring Music TheoryBycrygic
8th mode:
Scale 1999
Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
9th mode:
Scale 3047
Scale 3047: Panygic, Ian Ring Music TheoryPanygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [3571, 3833, 991, 2543, 3319, 3707, 3901, 1999, 3047] (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 3571 is 2551

Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic

Enantiomorph

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

Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic

Transformations:

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

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 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 3443Scale 3443: Verdi's Scala Enigmatica, Ian Ring Music TheoryVerdi's Scala Enigmatica
Scale 3315Scale 3315: Tcherepnin Octatonic Mode 1, Ian Ring Music TheoryTcherepnin Octatonic Mode 1
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic

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.