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Scale 3473: "Lathimic"

Scale 3473: Lathimic, 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
Lathimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,7,8,10,11}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 311
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 311
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<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 TriadsC{0,4,7}221.2
E{4,8,11}221.2
Minor Triadsem{4,7,11}321
Augmented TriadsC+{0,4,8}231.4
Diminished Triads{4,7,10}131.6
Parsimonious Voice Leading Between Common Triads of Scale 3473. Created by Ian Ring ©2019 C C C+ C+ C->C+ em em C->em E E C+->E e°->em em->E

view full size

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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC, em, E
Peripheral VerticesC+, e°

Modes

Modes are the rotational transformation of this scale. Scale 3473 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 473
Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic
3rd mode:
Scale 571
Scale 571: Kynimic, Ian Ring Music TheoryKynimic
4th mode:
Scale 2333
Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
5th mode:
Scale 1607
Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
6th mode:
Scale 2851
Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic

Prime

The prime form of this scale is Scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Complement

The hexatonic modal family [3473, 473, 571, 2333, 1607, 2851] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3473 is 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3473 is chiral, and its enantiomorph is scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Transformations:

T0 3473  T0I 311
T1 2851  T1I 622
T2 1607  T2I 1244
T3 3214  T3I 2488
T4 2333  T4I 881
T5 571  T5I 1762
T6 1142  T6I 3524
T7 2284  T7I 2953
T8 473  T8I 1811
T9 946  T9I 3622
T10 1892  T10I 3149
T11 3784  T11I 2203

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 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
Scale 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian
Scale 3457Scale 3457, Ian Ring Music Theory
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3345Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic
Scale 3985Scale 3985: Thadian, Ian Ring Music TheoryThadian
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 2961Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
Scale 1425Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic

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.