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Scale 437: "Ronimic"

Scale 437: Ronimic, 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
Ronimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,5,7,8}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1457
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 347
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.232
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 TriadsC{0,4,7}131.5
Minor Triadsfm{5,8,0}221
Augmented TriadsC+{0,4,8}221
Diminished Triads{2,5,8}131.5
Parsimonious Voice Leading Between Common Triads of Scale 437. Created by Ian Ring ©2019 C C C+ C+ C->C+ fm fm C+->fm d°->fm

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC+, fm
Peripheral VerticesC, d°

Modes

Modes are the rotational transformation of this scale. Scale 437 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1133
Scale 1133: Stycrimic, Ian Ring Music TheoryStycrimic
3rd mode:
Scale 1307
Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
4th mode:
Scale 2701
Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
5th mode:
Scale 1699
Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali
6th mode:
Scale 2897
Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic

Prime

The prime form of this scale is Scale 347

Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic

Complement

The hexatonic modal family [437, 1133, 1307, 2701, 1699, 2897] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 437 is 1457

Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 437 is chiral, and its enantiomorph is scale 1457

Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari

Transformations:

T0 437  T0I 1457
T1 874  T1I 2914
T2 1748  T2I 1733
T3 3496  T3I 3466
T4 2897  T4I 2837
T5 1699  T5I 1579
T6 3398  T6I 3158
T7 2701  T7I 2221
T8 1307  T8I 347
T9 2614  T9I 694
T10 1133  T10I 1388
T11 2266  T11I 2776

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 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 433Scale 433: Raga Zilaf, Ian Ring Music TheoryRaga Zilaf
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 441Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
Scale 445Scale 445: Gocrian, Ian Ring Music TheoryGocrian
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 429Scale 429: Koptimic, Ian Ring Music TheoryKoptimic
Scale 405Scale 405: Raga Bhupeshwari, Ian Ring Music TheoryRaga Bhupeshwari
Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major

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.