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Scale 1425: "Ryphitonic"

Scale 1425: Ryphitonic, 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
Ryphitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,7,8,10}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 309
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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 TriadsC{0,4,7}210.67
Augmented TriadsC+{0,4,8}121
Diminished Triads{4,7,10}121
Parsimonious Voice Leading Between Common Triads of Scale 1425. Created by Ian Ring ©2019 C C C+ C+ C->C+ C->e°

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.

Diameter2
Radius1
Self-Centeredno
Central VerticesC
Peripheral VerticesC+, e°

Modes

Modes are the rotational transformation of this scale. Scale 1425 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 345
Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
3rd mode:
Scale 555
Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
4th mode:
Scale 2325
Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
5th mode:
Scale 1605
Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [1425, 345, 555, 2325, 1605] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1425 is 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1425 is chiral, and its enantiomorph is scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Transformations:

T0 1425  T0I 309
T1 2850  T1I 618
T2 1605  T2I 1236
T3 3210  T3I 2472
T4 2325  T4I 849
T5 555  T5I 1698
T6 1110  T6I 3396
T7 2220  T7I 2697
T8 345  T8I 1299
T9 690  T9I 2598
T10 1380  T10I 1101
T11 2760  T11I 2202

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 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1433Scale 1433: Dynimic, Ian Ring Music TheoryDynimic
Scale 1409Scale 1409, Ian Ring Music Theory
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1297Scale 1297: Aeolic, Ian Ring Music TheoryAeolic
Scale 1361Scale 1361: Bolitonic, Ian Ring Music TheoryBolitonic
Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
Scale 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 401Scale 401: Epogic, Ian Ring Music TheoryEpogic
Scale 913Scale 913: Aeolyritonic, Ian Ring Music TheoryAeolyritonic
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic

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.