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Scale 649: "Byptic"

Scale 649: Byptic, 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
Byptic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,3,7,9}
Forte Number4-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 553
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 293
Deep Scaleno
Interval Vector012111
Interval Spectrumpmn2st
Distribution Spectra<1> = {2,3,4}
<2> = {5,6,7}
<3> = {8,9,10}
Spectra Variation1.5
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyStrictly Proper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Minor Triadscm{0,3,7}110.5
Diminished Triads{9,0,3}110.5
Parsimonious Voice Leading Between Common Triads of Scale 649. Created by Ian Ring ©2019 cm cm cm->a°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 649 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 593
Scale 593: Saric, Ian Ring Music TheorySaric
3rd mode:
Scale 293
Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga HaripriyaThis is the prime mode
4th mode:
Scale 1097
Scale 1097: Aeraphic, Ian Ring Music TheoryAeraphic

Prime

The prime form of this scale is Scale 293

Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya

Complement

The tetratonic modal family [649, 593, 293, 1097] (Forte: 4-27) is the complement of the octatonic modal family [1463, 1757, 1771, 1883, 2779, 2933, 2989, 3437] (Forte: 8-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 649 is 553

Scale 553Scale 553: Rothic 2, Ian Ring Music TheoryRothic 2

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 649 is chiral, and its enantiomorph is scale 553

Scale 553Scale 553: Rothic 2, Ian Ring Music TheoryRothic 2

Transformations:

T0 649  T0I 553
T1 1298  T1I 1106
T2 2596  T2I 2212
T3 1097  T3I 329
T4 2194  T4I 658
T5 293  T5I 1316
T6 586  T6I 2632
T7 1172  T7I 1169
T8 2344  T8I 2338
T9 593  T9I 581
T10 1186  T10I 1162
T11 2372  T11I 2324

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 651Scale 651: Golitonic, Ian Ring Music TheoryGolitonic
Scale 653Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
Scale 641Scale 641, Ian Ring Music Theory
Scale 645Scale 645, Ian Ring Music Theory
Scale 657Scale 657: Epathic, Ian Ring Music TheoryEpathic
Scale 665Scale 665: Raga Mohanangi, Ian Ring Music TheoryRaga Mohanangi
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 521Scale 521, Ian Ring Music Theory
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 777Scale 777, Ian Ring Music Theory
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 393Scale 393: Lothic, Ian Ring Music TheoryLothic
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.