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Scale 799: "Lolian"

Scale 799: Lolian, 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
Lolian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,8,9}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3865
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
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 TriadsG♯{8,0,3}231.5
A{9,1,4}231.5
Minor Triadsc♯m{1,4,8}231.5
am{9,0,4}321.17
Augmented TriadsC+{0,4,8}321.17
Diminished Triads{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 799. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m G# G# C+->G# am am C+->am A A c#m->A G#->a° a°->am am->A

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+, am
Peripheral Verticesc♯m, G♯, a°, A

Modes

Modes are the rotational transformation of this scale. Scale 799 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2447
Scale 2447: Thagian, Ian Ring Music TheoryThagian
3rd mode:
Scale 3271
Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
4th mode:
Scale 3683
Scale 3683: Dycrian, Ian Ring Music TheoryDycrian
5th mode:
Scale 3889
Scale 3889: Parian, Ian Ring Music TheoryParian
6th mode:
Scale 499
Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
7th mode:
Scale 2297
Scale 2297: Thylian, Ian Ring Music TheoryThylian

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [799, 2447, 3271, 3683, 3889, 499, 2297] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 799 is 3865

Scale 3865Scale 3865: Starian, Ian Ring Music TheoryStarian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 799 is chiral, and its enantiomorph is scale 3865

Scale 3865Scale 3865: Starian, Ian Ring Music TheoryStarian

Transformations:

T0 799  T0I 3865
T1 1598  T1I 3635
T2 3196  T2I 3175
T3 2297  T3I 2255
T4 499  T4I 415
T5 998  T5I 830
T6 1996  T6I 1660
T7 3992  T7I 3320
T8 3889  T8I 2545
T9 3683  T9I 995
T10 3271  T10I 1990
T11 2447  T11I 3980

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 797Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
Scale 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
Scale 783Scale 783, Ian Ring Music Theory
Scale 815Scale 815: Bolian, Ian Ring Music TheoryBolian
Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic
Scale 863Scale 863: Pyryllic, Ian Ring Music TheoryPyryllic
Scale 927Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllic
Scale 543Scale 543, Ian Ring Music Theory
Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic

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. Special thanks to Richard Repp for helping with technical accuracy.