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Scale 493: "Rygian"

Scale 493: Rygian, 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

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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
Rygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,6,7,8}
Forte Number7-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1777
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 367
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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
Major TriadsG♯{8,0,3}221.2
Minor Triadscm{0,3,7}231.4
fm{5,8,0}231.4
Diminished Triads{0,3,6}142
{2,5,8}142
Parsimonious Voice Leading Between Common Triads of Scale 493. Created by Ian Ring ©2019 cm cm c°->cm G# G# cm->G# fm fm d°->fm fm->G#

view full size

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.

Diameter4
Radius2
Self-Centeredno
Central VerticesG♯
Peripheral Verticesc°, d°

Modes

Modes are the rotational transformation of this scale. Scale 493 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1147
Scale 1147: Epynian, Ian Ring Music TheoryEpynian
3rd mode:
Scale 2621
Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
4th mode:
Scale 1679
Scale 1679: Kydian, Ian Ring Music TheoryKydian
5th mode:
Scale 2887
Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
6th mode:
Scale 3491
Scale 3491: Tharian, Ian Ring Music TheoryTharian
7th mode:
Scale 3793
Scale 3793: Aeopian, Ian Ring Music TheoryAeopian

Prime

The prime form of this scale is Scale 367

Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian

Complement

The heptatonic modal family [493, 1147, 2621, 1679, 2887, 3491, 3793] (Forte: 7-Z36) is the complement of the pentatonic modal family [151, 737, 1801, 2123, 3109] (Forte: 5-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 493 is 1777

Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 493 is chiral, and its enantiomorph is scale 1777

Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian

Transformations:

T0 493  T0I 1777
T1 986  T1I 3554
T2 1972  T2I 3013
T3 3944  T3I 1931
T4 3793  T4I 3862
T5 3491  T5I 3629
T6 2887  T6I 3163
T7 1679  T7I 2231
T8 3358  T8I 367
T9 2621  T9I 734
T10 1147  T10I 1468
T11 2294  T11I 2936

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 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 489Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
Scale 477Scale 477: Stacrian, Ian Ring Music TheoryStacrian
Scale 429Scale 429: Koptimic, Ian Ring Music TheoryKoptimic
Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic
Scale 237Scale 237, Ian Ring Music Theory
Scale 749Scale 749: Aeologian, Ian Ring Music TheoryAeologian
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 2541Scale 2541: Algerian, Ian Ring Music TheoryAlgerian

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.