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Scale 1095: "Phrythitonic"

Scale 1095: Phrythitonic, 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

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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
Phrythitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,6,10}
Forte Number5-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3141
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 279
Deep Scaleno
Interval Vector221311
Interval Spectrumpm3ns2d2t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {8,10,11}
Spectra Variation3.6
Maximally Evenno
Maximal Area Setno
Interior Area1.799
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 TriadsF♯{6,10,1}110.5
Augmented TriadsD+{2,6,10}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1095. Created by Ian Ring ©2019 D+ D+ F# F# D+->F#

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 1095 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2595
Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
3rd mode:
Scale 3345
Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
4th mode:
Scale 465
Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
5th mode:
Scale 285
Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Complement

The pentatonic modal family [1095, 2595, 3345, 465, 285] (Forte: 5-13) is the complement of the heptatonic modal family [375, 1815, 1905, 2235, 2955, 3165, 3525] (Forte: 7-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1095 is 3141

Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1095 is chiral, and its enantiomorph is scale 3141

Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic

Transformations:

T0 1095  T0I 3141
T1 2190  T1I 2187
T2 285  T2I 279
T3 570  T3I 558
T4 1140  T4I 1116
T5 2280  T5I 2232
T6 465  T6I 369
T7 930  T7I 738
T8 1860  T8I 1476
T9 3720  T9I 2952
T10 3345  T10I 1809
T11 2595  T11I 3618

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 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1091Scale 1091, Ian Ring Music Theory
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1103Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
Scale 1031Scale 1031, Ian Ring Music Theory
Scale 1063Scale 1063, Ian Ring Music Theory
Scale 1159Scale 1159, Ian Ring Music Theory
Scale 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1351Scale 1351: Aeraptimic, Ian Ring Music TheoryAeraptimic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 71Scale 71, Ian Ring Music Theory
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 2119Scale 2119, Ian Ring Music Theory
Scale 3143Scale 3143: Polimic, Ian Ring Music TheoryPolimic

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.