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Scale 1765: "Lonian"

Scale 1765: Lonian, 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
Lonian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,6,7,9,10}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1261
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
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 1765 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1465
Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
3rd mode:
Scale 695
Scale 695: Sarian, Ian Ring Music TheorySarianThis is the prime mode
4th mode:
Scale 2395
Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
5th mode:
Scale 3245
Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
6th mode:
Scale 1835
Scale 1835: Byptian, Ian Ring Music TheoryByptian
7th mode:
Scale 2965
Scale 2965: Darian, Ian Ring Music TheoryDarian

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [1765, 1465, 695, 2395, 3245, 1835, 2965] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1765 is 1261

Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1765 is chiral, and its enantiomorph is scale 1261

Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues

Transformations:

T0 1765  T0I 1261
T1 3530  T1I 2522
T2 2965  T2I 949
T3 1835  T3I 1898
T4 3670  T4I 3796
T5 3245  T5I 3497
T6 2395  T6I 2899
T7 695  T7I 1703
T8 1390  T8I 3406
T9 2780  T9I 2717
T10 1465  T10I 1339
T11 2930  T11I 2678

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 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 1769Scale 1769: Blues Heptatonic II, Ian Ring Music TheoryBlues Heptatonic II
Scale 1773Scale 1773: Blues Scale II, Ian Ring Music TheoryBlues Scale II
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
Scale 1749Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
Scale 1701Scale 1701: Dominant Seventh, Ian Ring Music TheoryDominant Seventh
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 2789Scale 2789: Zolian, Ian Ring Music TheoryZolian
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic

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.