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Scale 3729: "Starimic"

Scale 3729: Starimic, 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
Starimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,7,9,10,11}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 303
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
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 3729 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 489
Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
3rd mode:
Scale 573
Scale 573: Saptimic, Ian Ring Music TheorySaptimic
4th mode:
Scale 1167
Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
5th mode:
Scale 2631
Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
6th mode:
Scale 3363
Scale 3363: Rogimic, Ian Ring Music TheoryRogimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [3729, 489, 573, 1167, 2631, 3363] (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 3729 is 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Enantiomorph

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

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Transformations:

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

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 3731Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
Scale 3733Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
Scale 3737Scale 3737: Phrocrian, Ian Ring Music TheoryPhrocrian
Scale 3713Scale 3713, Ian Ring Music Theory
Scale 3721Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian
Scale 3601Scale 3601, Ian Ring Music Theory
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic
Scale 3857Scale 3857: Ponimic, Ian Ring Music TheoryPonimic
Scale 3985Scale 3985: Thadian, Ian Ring Music TheoryThadian
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 2705Scale 2705: Raga Mamata, Ian Ring Music TheoryRaga Mamata
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji

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.