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Scale 739: "Rorimic"

Scale 739: Rorimic, 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
Rorimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,6,7,9}
Forte Number6-Z17
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2281
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 407
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {4,6,8}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 739 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2417
Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
3rd mode:
Scale 407
Scale 407: Zylimic, Ian Ring Music TheoryZylimicThis is the prime mode
4th mode:
Scale 2251
Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
5th mode:
Scale 3173
Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
6th mode:
Scale 1817
Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic

Prime

The prime form of this scale is Scale 407

Scale 407Scale 407: Zylimic, Ian Ring Music TheoryZylimic

Complement

The hexatonic modal family [739, 2417, 407, 2251, 3173, 1817] (Forte: 6-Z17) is the complement of the hexatonic modal family [359, 907, 1649, 2227, 2501, 3161] (Forte: 6-Z43)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 739 is 2281

Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 739 is chiral, and its enantiomorph is scale 2281

Scale 2281Scale 2281: Rathimic, Ian Ring Music TheoryRathimic

Transformations:

T0 739  T0I 2281
T1 1478  T1I 467
T2 2956  T2I 934
T3 1817  T3I 1868
T4 3634  T4I 3736
T5 3173  T5I 3377
T6 2251  T6I 2659
T7 407  T7I 1223
T8 814  T8I 2446
T9 1628  T9I 797
T10 3256  T10I 1594
T11 2417  T11I 3188

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 737Scale 737, Ian Ring Music Theory
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse
Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 707Scale 707, Ian Ring Music Theory
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic
Scale 611Scale 611: Anchihoye, Ian Ring Music TheoryAnchihoye
Scale 867Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic
Scale 995Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
Scale 227Scale 227, Ian Ring Music Theory
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 1251Scale 1251: Sylimic, Ian Ring Music TheorySylimic
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.