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Scale 335: "Zanimic"

Scale 335: Zanimic, 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

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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
Zanimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,3,6,8}
Forte Number6-Z41
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3665
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector332232
Interval Spectrump3m2n2s3d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,4,5,6}
<3> = {3,5,6,7,9}
<4> = {6,7,8,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsG♯{8,0,3}110.5
Diminished Triads{0,3,6}110.5
Parsimonious Voice Leading Between Common Triads of Scale 335. Created by Ian Ring ©2019 G# G# c°->G#

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 335 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2215
Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
3rd mode:
Scale 3155
Scale 3155: Ladimic, Ian Ring Music TheoryLadimic
4th mode:
Scale 3625
Scale 3625: Podimic, Ian Ring Music TheoryPodimic
5th mode:
Scale 965
Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
6th mode:
Scale 1265
Scale 1265: Pynimic, Ian Ring Music TheoryPynimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [335, 2215, 3155, 3625, 965, 1265] (Forte: 6-Z41) is the complement of the hexatonic modal family [215, 1475, 1805, 2155, 2785, 3125] (Forte: 6-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 335 is 3665

Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 335 is chiral, and its enantiomorph is scale 3665

Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic

Transformations:

T0 335  T0I 3665
T1 670  T1I 3235
T2 1340  T2I 2375
T3 2680  T3I 655
T4 1265  T4I 1310
T5 2530  T5I 2620
T6 965  T6I 1145
T7 1930  T7I 2290
T8 3860  T8I 485
T9 3625  T9I 970
T10 3155  T10I 1940
T11 2215  T11I 3880

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 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 271Scale 271, Ian Ring Music Theory
Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic
Scale 399Scale 399: Zynimic, Ian Ring Music TheoryZynimic
Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian
Scale 79Scale 79, Ian Ring Music Theory
Scale 207Scale 207, Ian Ring Music Theory
Scale 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic
Scale 847Scale 847: Ganian, Ian Ring Music TheoryGanian
Scale 1359Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian

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.