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Scale 3901: "Bycrygic"

Scale 3901: Bycrygic, 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
Bycrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,8,9,10,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1951
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 3901 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1999
Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
3rd mode:
Scale 3047
Scale 3047: Panygic, Ian Ring Music TheoryPanygic
4th mode:
Scale 3571
Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
5th mode:
Scale 3833
Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
6th mode:
Scale 991
Scale 991: Aeolygic, Ian Ring Music TheoryAeolygicThis is the prime mode
7th mode:
Scale 2543
Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
8th mode:
Scale 3319
Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
9th mode:
Scale 3707
Scale 3707: Rynygic, Ian Ring Music TheoryRynygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [3901, 1999, 3047, 3571, 3833, 991, 2543, 3319, 3707] (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 3901 is 1951

Scale 1951Scale 1951: Marygic, Ian Ring Music TheoryMarygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3901 is chiral, and its enantiomorph is scale 1951

Scale 1951Scale 1951: Marygic, Ian Ring Music TheoryMarygic

Transformations:

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

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 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 3897Scale 3897: Kalyllic, Ian Ring Music TheoryKalyllic
Scale 3899Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
Scale 3893Scale 3893: Phrocryllic, Ian Ring Music TheoryPhrocryllic
Scale 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
Scale 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
Scale 3965Scale 3965: Messiaen Mode 7 Inverse, Ian Ring Music TheoryMessiaen Mode 7 Inverse
Scale 4029Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic

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.