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Scale 785: "Aeoloric"

Scale 785: Aeoloric, 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
Aeoloric

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,4,8,9}
Forte Number4-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 281
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 275
Deep Scaleno
Interval Vector101310
Interval Spectrumpm3nd
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7,8}
<3> = {8,9,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area1.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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
Minor Triadsam{9,0,4}110.5
Augmented TriadsC+{0,4,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 785. Created by Ian Ring ©2019 C+ C+ am am C+->am

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 785 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 305
Scale 305: Gonic, Ian Ring Music TheoryGonic
3rd mode:
Scale 275
Scale 275: Dalic, Ian Ring Music TheoryDalicThis is the prime mode
4th mode:
Scale 2185
Scale 2185: Dygic, Ian Ring Music TheoryDygic

Prime

The prime form of this scale is Scale 275

Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic

Complement

The tetratonic modal family [785, 305, 275, 2185] (Forte: 4-19) is the complement of the octatonic modal family [887, 1847, 1907, 2491, 2971, 3001, 3293, 3533] (Forte: 8-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 785 is 281

Scale 281Scale 281: Lanic, Ian Ring Music TheoryLanic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 785 is chiral, and its enantiomorph is scale 281

Scale 281Scale 281: Lanic, Ian Ring Music TheoryLanic

Transformations:

T0 785  T0I 281
T1 1570  T1I 562
T2 3140  T2I 1124
T3 2185  T3I 2248
T4 275  T4I 401
T5 550  T5I 802
T6 1100  T6I 1604
T7 2200  T7I 3208
T8 305  T8I 2321
T9 610  T9I 547
T10 1220  T10I 1094
T11 2440  T11I 2188

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 787Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
Scale 789Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic
Scale 793Scale 793: Mocritonic, Ian Ring Music TheoryMocritonic
Scale 769Scale 769, Ian Ring Music Theory
Scale 777Scale 777, Ian Ring Music Theory
Scale 801Scale 801, Ian Ring Music Theory
Scale 817Scale 817: Zothitonic, Ian Ring Music TheoryZothitonic
Scale 849Scale 849: Aerynitonic, Ian Ring Music TheoryAerynitonic
Scale 913Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
Scale 529Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala
Scale 657Scale 657: Epathic, Ian Ring Music TheoryEpathic
Scale 273Scale 273: Augmented Triad, Ian Ring Music TheoryAugmented Triad
Scale 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic
Scale 1809Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic

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.