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Scale 1623: "Lothian"

Scale 1623: Lothian, 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
Lothian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,6,9,10}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3405
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
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1623 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2859
Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
3rd mode:
Scale 3477
Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
4th mode:
Scale 1893
Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
5th mode:
Scale 1497
Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
6th mode:
Scale 699
Scale 699: Aerothian, Ian Ring Music TheoryAerothianThis is the prime mode
7th mode:
Scale 2397
Scale 2397: Stagian, Ian Ring Music TheoryStagian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [1623, 2859, 3477, 1893, 1497, 699, 2397] (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 1623 is 3405

Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1623 is chiral, and its enantiomorph is scale 3405

Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian

Transformations:

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

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 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1639Scale 1639: Aeolothian, Ian Ring Music TheoryAeolothian
Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1687Scale 1687: Phralian, Ian Ring Music TheoryPhralian
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 2647Scale 2647: Dadian, Ian Ring Music TheoryDadian
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic

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.