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Scale 2605: "Rylimic"

Scale 2605: Rylimic, 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
Rylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,5,9,11}
Forte Number6-Z23
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 365
Deep Scaleno
Interval Vector234222
Interval Spectrump2m2n4s3d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {3,6}
<3> = {4,5,7,8}
<4> = {6,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tones[2]
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}221
Minor Triadsdm{2,5,9}221
Diminished Triads{9,0,3}131.5
{11,2,5}131.5
Parsimonious Voice Leading Between Common Triads of Scale 2605. Created by Ian Ring ©2019 dm dm F F dm->F dm->b° F->a°

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.

Diameter3
Radius2
Self-Centeredno
Central Verticesdm, F
Peripheral Verticesa°, b°

Modes

Modes are the rotational transformation of this scale. Scale 2605 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1675
Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
3rd mode:
Scale 2885
Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
4th mode:
Scale 1745
Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
5th mode:
Scale 365
Scale 365: Marimic, Ian Ring Music TheoryMarimicThis is the prime mode
6th mode:
Scale 1115
Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror

Prime

The prime form of this scale is Scale 365

Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic

Complement

The hexatonic modal family [2605, 1675, 2885, 1745, 365, 1115] (Forte: 6-Z23) is the complement of the hexatonic modal family [605, 745, 1175, 1865, 2635, 3365] (Forte: 6-Z45)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2605 is 1675

Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali

Transformations:

T0 2605  T0I 1675
T1 1115  T1I 3350
T2 2230  T2I 2605
T3 365  T3I 1115
T4 730  T4I 2230
T5 1460  T5I 365
T6 2920  T6I 730
T7 1745  T7I 1460
T8 3490  T8I 2920
T9 2885  T9I 1745
T10 1675  T10I 3490
T11 3350  T11I 2885

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 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 2589Scale 2589, Ian Ring Music Theory
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2733Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 557Scale 557: Raga Abhogi, Ian Ring Music TheoryRaga Abhogi
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri

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.