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Scale 805: "Rothitonic"

Scale 805: Rothitonic, 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).

Common Names

Zeitler
Rothitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,5,8,9}
Forte Number5-32
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1177
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 595
Deep Scaleno
Interval Vector113221
Interval Spectrump2m2n3sdt
Distribution Spectra<1> = {1,2,3}
<2> = {4,5,6}
<3> = {6,7,8}
<4> = {9,10,11}
Spectra Variation1.6
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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
fm{5,8,0}221
Diminished Triads{2,5,8}221
Parsimonious Voice Leading Between Common Triads of Scale 805. Created by Ian Ring ©2019 dm dm d°->dm fm fm d°->fm F F dm->F fm->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.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 805 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1225
Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
3rd mode:
Scale 665
Scale 665: Raga Mohanangi, Ian Ring Music TheoryRaga Mohanangi
4th mode:
Scale 595
Scale 595: Sogitonic, Ian Ring Music TheorySogitonicThis is the prime mode
5th mode:
Scale 2345
Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns

Prime

The prime form of this scale is Scale 595

Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic

Complement

The pentatonic modal family [805, 1225, 665, 595, 2345] (Forte: 5-32) is the complement of the heptatonic modal family [859, 1459, 1643, 1741, 2477, 2777, 2869] (Forte: 7-32)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 805 is 1177

Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 805 is chiral, and its enantiomorph is scale 1177

Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic

Transformations:

T0 805  T0I 1177
T1 1610  T1I 2354
T2 3220  T2I 613
T3 2345  T3I 1226
T4 595  T4I 2452
T5 1190  T5I 809
T6 2380  T6I 1618
T7 665  T7I 3236
T8 1330  T8I 2377
T9 2660  T9I 659
T10 1225  T10I 1318
T11 2450  T11I 2636

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 807Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
Scale 801Scale 801, Ian Ring Music Theory
Scale 803Scale 803: Loritonic, Ian Ring Music TheoryLoritonic
Scale 809Scale 809: Dogitonic, Ian Ring Music TheoryDogitonic
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 821Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic
Scale 773Scale 773, Ian Ring Music Theory
Scale 789Scale 789: Zogitonic, Ian Ring Music TheoryZogitonic
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 549Scale 549: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic

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.