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Scale 3345: "Zylitonic"

Scale 3345: Zylitonic, 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
Zylitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,8,10,11}
Forte Number5-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 279
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 279
Deep Scaleno
Interval Vector221311
Interval Spectrumpm3ns2d2t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {8,10,11}
Spectra Variation3.6
Maximally Evenno
Maximal Area Setno
Interior Area1.799
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 TriadsE{4,8,11}110.5
Augmented TriadsC+{0,4,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 3345. Created by Ian Ring ©2019 C+ C+ E E C+->E

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 3345 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 465
Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
3rd mode:
Scale 285
Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic
4th mode:
Scale 1095
Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
5th mode:
Scale 2595
Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Complement

The pentatonic modal family [3345, 465, 285, 1095, 2595] (Forte: 5-13) is the complement of the heptatonic modal family [375, 1815, 1905, 2235, 2955, 3165, 3525] (Forte: 7-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3345 is 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3345 is chiral, and its enantiomorph is scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Transformations:

T0 3345  T0I 279
T1 2595  T1I 558
T2 1095  T2I 1116
T3 2190  T3I 2232
T4 285  T4I 369
T5 570  T5I 738
T6 1140  T6I 1476
T7 2280  T7I 2952
T8 465  T8I 1809
T9 930  T9I 3618
T10 1860  T10I 3141
T11 3720  T11I 2187

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 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
Scale 3329Scale 3329, Ian Ring Music Theory
Scale 3337Scale 3337, Ian Ring Music Theory
Scale 3361Scale 3361, Ian Ring Music Theory
Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3601Scale 3601, Ian Ring Music Theory
Scale 3857Scale 3857: Ponimic, Ian Ring Music TheoryPonimic
Scale 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic
Scale 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.