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Scale 997: "Rycrian"

Scale 997: Rycrian, 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
Rycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,6,7,8,9}
Forte Number7-Z12
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 671
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicyes

Harmonic Chords

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 TriadsD{2,6,9}231.5
F{5,9,0}321.17
Minor Triadsdm{2,5,9}321.17
fm{5,8,0}231.5
Diminished Triads{2,5,8}231.5
f♯°{6,9,0}231.5
Parsimonious Voice Leading Between Common Triads of Scale 997. Created by Ian Ring ©2019 dm dm d°->dm fm fm d°->fm D D dm->D F F dm->F f#° f#° D->f#° fm->F F->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.

Diameter3
Radius2
Self-Centeredno
Central Verticesdm, F
Peripheral Verticesd°, D, fm, f♯°

Modes

Modes are the rotational transformation of this scale. Scale 997 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1273
Scale 1273: Ronian, Ian Ring Music TheoryRonian
3rd mode:
Scale 671
Scale 671: Stycrian, Ian Ring Music TheoryStycrianThis is the prime mode
4th mode:
Scale 2383
Scale 2383: Katorian, Ian Ring Music TheoryKatorian
5th mode:
Scale 3239
Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
6th mode:
Scale 3667
Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
7th mode:
Scale 3881
Scale 3881: Morian, Ian Ring Music TheoryMorian

Prime

The prime form of this scale is Scale 671

Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian

Complement

The heptatonic modal family [997, 1273, 671, 2383, 3239, 3667, 3881] (Forte: 7-Z12) is the complement of the pentatonic modal family [107, 1411, 1549, 2101, 2753] (Forte: 5-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 997 is 1273

Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian

Transformations:

T0 997  T0I 1273
T1 1994  T1I 2546
T2 3988  T2I 997
T3 3881  T3I 1994
T4 3667  T4I 3988
T5 3239  T5I 3881
T6 2383  T6I 3667
T7 671  T7I 3239
T8 1342  T8I 2383
T9 2684  T9I 671
T10 1273  T10I 1342
T11 2546  T11I 2684

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 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 993Scale 993, Ian Ring Music Theory
Scale 995Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 981Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 2021Scale 2021: Katycryllic, Ian Ring Music TheoryKatycryllic
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic

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.