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Scale 2595: "Rolitonic"

Scale 2595: Rolitonic, 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
Rolitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,5,9,11}
Forte Number5-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2187
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{5,9,0}110.5
Augmented TriadsC♯+{1,5,9}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2595. Created by Ian Ring ©2019 C#+ C#+ F F C#+->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 2595 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3345
Scale 3345: Zylitonic, Ian Ring Music TheoryZylitonic
3rd mode:
Scale 465
Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
4th mode:
Scale 285
Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic
5th mode:
Scale 1095
Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Complement

The pentatonic modal family [2595, 3345, 465, 285, 1095] (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 2595 is 2187

Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2595 is chiral, and its enantiomorph is scale 2187

Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic

Transformations:

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

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 2593Scale 2593, Ian Ring Music Theory
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2611Scale 2611: Raga Vasanta, Ian Ring Music TheoryRaga Vasanta
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2579Scale 2579, Ian Ring Music Theory
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2723Scale 2723: Raga Jivantika, Ian Ring Music TheoryRaga Jivantika
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 3107Scale 3107, Ian Ring Music Theory
Scale 3619Scale 3619: Thanimic, Ian Ring Music TheoryThanimic
Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic

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.