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Scale 1245: "Lathian"

Scale 1245: Lathian, 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.

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
Lathian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,6,7,10}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1893
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1245 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1335
Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
3rd mode:
Scale 2715
Scale 2715: Kynian, Ian Ring Music TheoryKynian
4th mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian
5th mode:
Scale 1875
Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
6th mode:
Scale 2985
Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
7th mode:
Scale 885
Scale 885: Sathian, Ian Ring Music TheorySathian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [1245, 1335, 2715, 3405, 1875, 2985, 885] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1245 is 1893

Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1245 is chiral, and its enantiomorph is scale 1893

Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian

Transformations:

T0 1245  T0I 1893
T1 2490  T1I 3786
T2 885  T2I 3477
T3 1770  T3I 2859
T4 3540  T4I 1623
T5 2985  T5I 3246
T6 1875  T6I 2397
T7 3750  T7I 699
T8 3405  T8I 1398
T9 2715  T9I 2796
T10 1335  T10I 1497
T11 2670  T11I 2994

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 1247Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1501Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 221Scale 221, Ian Ring Music Theory
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic

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. Bibliography