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Scale 3767: "Chromatic Bebop"

Scale 3767: Chromatic Bebop, 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

Jazz and Blues
Chromatic Bebop
Zeitler
Bacrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,7,9,10,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3503
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3767 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
3rd mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
4th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
5th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
6th mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
7th mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
8th mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
9th mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [3767, 3931, 4013, 2027, 3061, 1789, 1471, 2783, 3439] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3767 is 3503

Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3767 is chiral, and its enantiomorph is scale 3503

Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic

Transformations:

T0 3767  T0I 3503
T1 3439  T1I 2911
T2 2783  T2I 1727
T3 1471  T3I 3454
T4 2942  T4I 2813
T5 1789  T5I 1531
T6 3578  T6I 3062
T7 3061  T7I 2029
T8 2027  T8I 4058
T9 4054  T9I 4021
T10 4013  T10I 3947
T11 3931  T11I 3799

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 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3703Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 4023Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
Scale 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic

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.