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Scale 3309: "Bycryllic"

Scale 3309: Bycryllic, 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
Bycryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,5,6,7,10,11}
Forte Number8-20
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 951
Deep Scaleno
Interval Vector545662
Interval Spectrump6m6n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.5
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tones[5]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3309 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1851
Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
3rd mode:
Scale 2973
Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
4th mode:
Scale 1767
Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
5th mode:
Scale 2931
Scale 2931: Zathyllic, Ian Ring Music TheoryZathyllic
6th mode:
Scale 3513
Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic
7th mode:
Scale 951
Scale 951: Thogyllic, Ian Ring Music TheoryThogyllicThis is the prime mode
8th mode:
Scale 2523
Scale 2523: Rygyllic, Ian Ring Music TheoryRygyllic

Prime

The prime form of this scale is Scale 951

Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic

Complement

The octatonic modal family [3309, 1851, 2973, 1767, 2931, 3513, 951, 2523] (Forte: 8-20) is the complement of the tetratonic modal family [291, 393, 561, 2193] (Forte: 4-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3309 is 1767

Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic

Transformations:

T0 3309  T0I 1767
T1 2523  T1I 3534
T2 951  T2I 2973
T3 1902  T3I 1851
T4 3804  T4I 3702
T5 3513  T5I 3309
T6 2931  T6I 2523
T7 1767  T7I 951
T8 3534  T8I 1902
T9 2973  T9I 3804
T10 1851  T10I 3513
T11 3702  T11I 2931

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 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3181Scale 3181: Rolian, Ian Ring Music TheoryRolian
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
Scale 2797Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues

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.