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Scale 601: "Bycritonic"

Scale 601: Bycritonic, 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
Bycritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,6,9}
Forte Number5-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 841
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 587
Deep Scaleno
Interval Vector114112
Interval Spectrumpmn4sdt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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 Triadsam{9,0,4}221.2
Diminished Triads{0,3,6}221.2
d♯°{3,6,9}221.2
f♯°{6,9,0}221.2
{9,0,3}221.2
Parsimonious Voice Leading Between Common Triads of Scale 601. Created by Ian Ring ©2019 d#° d#° c°->d#° c°->a° f#° f#° d#°->f#° am am f#°->am a°->am

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.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 601 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 587
Scale 587: Pathitonic, Ian Ring Music TheoryPathitonicThis is the prime mode
3rd mode:
Scale 2341
Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
4th mode:
Scale 1609
Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic
5th mode:
Scale 713
Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic

Prime

The prime form of this scale is Scale 587

Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic

Complement

The pentatonic modal family [601, 587, 2341, 1609, 713] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 601 is 841

Scale 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 601 is chiral, and its enantiomorph is scale 841

Scale 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic

Transformations:

T0 601  T0I 841
T1 1202  T1I 1682
T2 2404  T2I 3364
T3 713  T3I 2633
T4 1426  T4I 1171
T5 2852  T5I 2342
T6 1609  T6I 589
T7 3218  T7I 1178
T8 2341  T8I 2356
T9 587  T9I 617
T10 1174  T10I 1234
T11 2348  T11I 2468

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 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic
Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 617Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 537Scale 537, Ian Ring Music Theory
Scale 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 665Scale 665: Raga Mohanangi, Ian Ring Music TheoryRaga Mohanangi
Scale 729Scale 729: Stygimic, Ian Ring Music TheoryStygimic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 89Scale 89, Ian Ring Music Theory
Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2
Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic

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.