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Scale 593: "Saric"

Scale 593: Saric, 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
Saric

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,4,6,9}
Forte Number4-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 329
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 Triadsam{9,0,4}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 593. Created by Ian Ring ©2019 f#° f#° am am f#°->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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 593 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 293
Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga HaripriyaThis is the prime mode
3rd mode:
Scale 1097
Scale 1097: Aeraphic, Ian Ring Music TheoryAeraphic
4th mode:
Scale 649
Scale 649: Byptic, Ian Ring Music TheoryByptic

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 [593, 293, 1097, 649] (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 593 is 329

Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 593 is chiral, and its enantiomorph is scale 329

Scale 329Scale 329: Mynic, Ian Ring Music TheoryMynic

Transformations:

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

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 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 597Scale 597: Kung, Ian Ring Music TheoryKung
Scale 601Scale 601: Bycritonic, Ian Ring Music TheoryBycritonic
Scale 577Scale 577, Ian Ring Music Theory
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 609Scale 609, Ian Ring Music Theory
Scale 625Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
Scale 529Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala
Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic
Scale 657Scale 657: Epathic, Ian Ring Music TheoryEpathic
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 849Scale 849: Aerynitonic, Ian Ring Music TheoryAerynitonic
Scale 81Scale 81, Ian Ring Music Theory
Scale 337Scale 337: Koptic, Ian Ring Music TheoryKoptic
Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol

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.