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Scale 303: "Golimic"

Scale 303: Golimic, 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
Golimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,3,5,8}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3729
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 303 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2199
Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
3rd mode:
Scale 3147
Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
4th mode:
Scale 3621
Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
5th mode:
Scale 1929
Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
6th mode:
Scale 753
Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [303, 2199, 3147, 3621, 1929, 753] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 303 is 3729

Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 303 is chiral, and its enantiomorph is scale 3729

Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic

Transformations:

T0 303  T0I 3729
T1 606  T1I 3363
T2 1212  T2I 2631
T3 2424  T3I 1167
T4 753  T4I 2334
T5 1506  T5I 573
T6 3012  T6I 1146
T7 1929  T7I 2292
T8 3858  T8I 489
T9 3621  T9I 978
T10 3147  T10I 1956
T11 2199  T11I 3912

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 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian
Scale 271Scale 271, Ian Ring Music Theory
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian
Scale 47Scale 47, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 815Scale 815: Bolian, Ian Ring Music TheoryBolian
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian

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.