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Scale 35

Scale 35, 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{0,1,5}
Forte Number3-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2177
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes2
Prime?yes
Deep Scaleno
Interval Vector100110
Interval Spectrumpmd
Distribution Spectra<1> = {1,4,7}
<2> = {5,8,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area0.433
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 35 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 2065
Scale 2065, Ian Ring Music Theory
3rd mode:
Scale 385
Scale 385, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tritonic modal family [35, 2065, 385] (Forte: 3-4) is the complement of the nonatonic modal family [959, 2023, 2527, 3059, 3311, 3577, 3703, 3899, 3997] (Forte: 9-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 35 is 2177

Scale 2177Scale 2177, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 35 is chiral, and its enantiomorph is scale 2177

Scale 2177Scale 2177, Ian Ring Music Theory

Transformations:

T0 35  T0I 2177
T1 70  T1I 259
T2 140  T2I 518
T3 280  T3I 1036
T4 560  T4I 2072
T5 1120  T5I 49
T6 2240  T6I 98
T7 385  T7I 196
T8 770  T8I 392
T9 1540  T9I 784
T10 3080  T10I 1568
T11 2065  T11I 3136

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 33Scale 33: Honchoshi, Ian Ring Music TheoryHonchoshi
Scale 37Scale 37, Ian Ring Music Theory
Scale 39Scale 39, Ian Ring Music Theory
Scale 43Scale 43, Ian Ring Music Theory
Scale 51Scale 51, Ian Ring Music Theory
Scale 3Scale 3, Ian Ring Music Theory
Scale 19Scale 19, Ian Ring Music Theory
Scale 67Scale 67, Ian Ring Music Theory
Scale 99Scale 99, Ian Ring Music Theory
Scale 163Scale 163, Ian Ring Music Theory
Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric
Scale 1059Scale 1059, Ian Ring Music Theory
Scale 2083Scale 2083, 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.