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Scale 2295: "Kogyllic"

Scale 2295: Kogyllic, 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
Kogyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,6,7,11}
Forte Number8-6
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 495
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
Myhill Propertyno
Balancedno
Ridge Tones[6]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2295 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3195
Scale 3195: Raryllic, Ian Ring Music TheoryRaryllic
3rd mode:
Scale 3645
Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
4th mode:
Scale 1935
Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic
5th mode:
Scale 3015
Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
6th mode:
Scale 3555
Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
7th mode:
Scale 3825
Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
8th mode:
Scale 495
Scale 495: Bocryllic, Ian Ring Music TheoryBocryllicThis is the prime mode

Prime

The prime form of this scale is Scale 495

Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic

Complement

The octatonic modal family [2295, 3195, 3645, 1935, 3015, 3555, 3825, 495] (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 2295 is 3555

Scale 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic

Transformations:

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

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 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian
Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian
Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic
Scale 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
Scale 2279Scale 2279: Dyrian, Ian Ring Music TheoryDyrian
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 2167Scale 2167, Ian Ring Music Theory
Scale 2423Scale 2423, Ian Ring Music Theory
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 247Scale 247, Ian Ring Music Theory
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic

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.