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Scale 495: "Bocryllic"

Scale 495: Bocryllic, 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
Bocryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,6,7,8}
Forte Number8-6
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes7
Prime?yes
Deep Scaleno
Interval Vector654463
Interval Spectrump6m4n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {5,7}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 495 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2295
Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
3rd mode:
Scale 3195
Scale 3195: Raryllic, Ian Ring Music TheoryRaryllic
4th mode:
Scale 3645
Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
5th mode:
Scale 1935
Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic
6th mode:
Scale 3015
Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
7th mode:
Scale 3555
Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
8th mode:
Scale 3825
Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic

Prime

This is the prime form of this scale.

Complement

The octatonic modal family [495, 2295, 3195, 3645, 1935, 3015, 3555, 3825] (Forte: 8-6) is the complement of the tetratonic modal family [135, 225, 2115, 3105] (Forte: 4-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 495 is 3825

Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic

Transformations:

T0 495  T0I 3825
T1 990  T1I 3555
T2 1980  T2I 3015
T3 3960  T3I 1935
T4 3825  T4I 3870
T5 3555  T5I 3645
T6 3015  T6I 3195
T7 1935  T7I 2295
T8 3870  T8I 495
T9 3645  T9I 990
T10 3195  T10I 1980
T11 2295  T11I 3960

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 493Scale 493: Rygian, Ian Ring Music TheoryRygian
Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 487Scale 487: Dynian, Ian Ring Music TheoryDynian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic
Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian
Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic
Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 239Scale 239, Ian Ring Music Theory
Scale 751Scale 751, Ian Ring Music Theory
Scale 1007Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed
Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic

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.