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Scale 3347: "Synimic"

Scale 3347: Synimic, 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
Synimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,8,10,11}
Forte Number6-Z39
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2327
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 317
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3347 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3721
Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
3rd mode:
Scale 977
Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
4th mode:
Scale 317
Scale 317: Korimic, Ian Ring Music TheoryKorimicThis is the prime mode
5th mode:
Scale 1103
Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
6th mode:
Scale 2599
Scale 2599: Malimic, Ian Ring Music TheoryMalimic

Prime

The prime form of this scale is Scale 317

Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic

Complement

The hexatonic modal family [3347, 3721, 977, 317, 1103, 2599] (Forte: 6-Z39) is the complement of the hexatonic modal family [187, 1559, 1889, 2141, 2827, 3461] (Forte: 6-Z10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3347 is 2327

Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3347 is chiral, and its enantiomorph is scale 2327

Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic

Transformations:

T0 3347  T0I 2327
T1 2599  T1I 559
T2 1103  T2I 1118
T3 2206  T3I 2236
T4 317  T4I 377
T5 634  T5I 754
T6 1268  T6I 1508
T7 2536  T7I 3016
T8 977  T8I 1937
T9 1954  T9I 3874
T10 3908  T10I 3653
T11 3721  T11I 3211

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 3345Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3331Scale 3331, Ian Ring Music Theory
Scale 3339Scale 3339, Ian Ring Music Theory
Scale 3363Scale 3363: Rogimic, Ian Ring Music TheoryRogimic
Scale 3379Scale 3379: Verdi's Scala Enigmatica Descending, Ian Ring Music TheoryVerdi's Scala Enigmatica Descending
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 3091Scale 3091, Ian Ring Music Theory
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3859Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 1299Scale 1299: Aerophitonic, Ian Ring Music TheoryAerophitonic

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.