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Scale 769

Scale 769, 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).

Analysis

Cardinality3 (tritonic)
Pitch Class Set{0,8,9}
Forte Number3-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 25
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes2
Prime?no
prime: 19
Deep Scaleno
Interval Vector101100
Interval Spectrummnd
Distribution Spectra<1> = {1,3,8}
<2> = {4,9,11}
Spectra Variation4.667
Maximally Evenno
Maximal Area Setno
Interior Area0.317
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 769 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 19
Scale 19, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2057
Scale 2057, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 19

Scale 19Scale 19, Ian Ring Music Theory

Complement

The tritonic modal family [769, 19, 2057] (Forte: 3-3) is the complement of the nonatonic modal family [895, 2035, 2495, 3065, 3295, 3695, 3895, 3995, 4045] (Forte: 9-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 769 is 25

Scale 25Scale 25, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 769 is chiral, and its enantiomorph is scale 25

Scale 25Scale 25, Ian Ring Music Theory

Transformations:

T0 769  T0I 25
T1 1538  T1I 50
T2 3076  T2I 100
T3 2057  T3I 200
T4 19  T4I 400
T5 38  T5I 800
T6 76  T6I 1600
T7 152  T7I 3200
T8 304  T8I 2305
T9 608  T9I 515
T10 1216  T10I 1030
T11 2432  T11I 2060

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 771Scale 771, Ian Ring Music Theory
Scale 773Scale 773, Ian Ring Music Theory
Scale 777Scale 777, Ian Ring Music Theory
Scale 785Scale 785: Aeoloric, Ian Ring Music TheoryAeoloric
Scale 801Scale 801, Ian Ring Music Theory
Scale 833Scale 833, Ian Ring Music Theory
Scale 897Scale 897, Ian Ring Music Theory
Scale 513Scale 513, Ian Ring Music Theory
Scale 641Scale 641, Ian Ring Music Theory
Scale 257Scale 257, Ian Ring Music Theory
Scale 1281Scale 1281, Ian Ring Music Theory
Scale 1793Scale 1793, Ian Ring Music Theory
Scale 2817Scale 2817, Ian Ring Music Theory

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.