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Scale 2963: "Bygian"

Scale 2963: Bygian, 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
Bygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,7,8,9,11}
Forte Number7-Z17
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 631
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {4,5,7}
<4> = {5,7,8}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2963 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3529
Scale 3529: Stalian, Ian Ring Music TheoryStalian
3rd mode:
Scale 953
Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
4th mode:
Scale 631
Scale 631: Zygian, Ian Ring Music TheoryZygianThis is the prime mode
5th mode:
Scale 2363
Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
6th mode:
Scale 3229
Scale 3229: Aeolaptian, Ian Ring Music TheoryAeolaptian
7th mode:
Scale 1831
Scale 1831: Pothian, Ian Ring Music TheoryPothian

Prime

The prime form of this scale is Scale 631

Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian

Complement

The heptatonic modal family [2963, 3529, 953, 631, 2363, 3229, 1831] (Forte: 7-Z17) is the complement of the pentatonic modal family [283, 433, 1571, 2189, 2833] (Forte: 5-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2963 is 2363

Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian

Transformations:

T0 2963  T0I 2363
T1 1831  T1I 631
T2 3662  T2I 1262
T3 3229  T3I 2524
T4 2363  T4I 953
T5 631  T5I 1906
T6 1262  T6I 3812
T7 2524  T7I 3529
T8 953  T8I 2963
T9 1906  T9I 1831
T10 3812  T10I 3662
T11 3529  T11I 3229

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 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian
Scale 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 2955Scale 2955: Thorian, Ian Ring Music TheoryThorian
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 2995Scale 2995: Raga Saurashtra, Ian Ring Music TheoryRaga Saurashtra
Scale 3027Scale 3027: Rythyllic, Ian Ring Music TheoryRythyllic
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 3987Scale 3987: Loryllic, Ian Ring Music TheoryLoryllic
Scale 915Scale 915: Raga Kalagada, Ian Ring Music TheoryRaga Kalagada
Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian

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.