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Scale 3363: "Rogimic"

Scale 3363: Rogimic, 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
Rogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,8,10,11}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2199
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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♯{1,5,8}221
Minor Triadsfm{5,8,0}221
a♯m{10,1,5}131.5
Diminished Triads{5,8,11}131.5
Parsimonious Voice Leading Between Common Triads of Scale 3363. Created by Ian Ring ©2019 C# C# fm fm C#->fm a#m a#m C#->a#m f°->fm

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 VerticesC♯, fm
Peripheral Verticesf°, a♯m

Modes

Modes are the rotational transformation of this scale. Scale 3363 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3729
Scale 3729: Starimic, Ian Ring Music TheoryStarimic
3rd mode:
Scale 489
Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
4th mode:
Scale 573
Scale 573: Saptimic, Ian Ring Music TheorySaptimic
5th mode:
Scale 1167
Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
6th mode:
Scale 2631
Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [3363, 3729, 489, 573, 1167, 2631] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3363 is 2199

Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3363 is chiral, and its enantiomorph is scale 2199

Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic

Transformations:

T0 3363  T0I 2199
T1 2631  T1I 303
T2 1167  T2I 606
T3 2334  T3I 1212
T4 573  T4I 2424
T5 1146  T5I 753
T6 2292  T6I 1506
T7 489  T7I 3012
T8 978  T8I 1929
T9 1956  T9I 3858
T10 3912  T10I 3621
T11 3729  T11I 3147

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 3361Scale 3361, Ian Ring Music Theory
Scale 3365Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian
Scale 3371Scale 3371: Aeolylian, Ian Ring Music TheoryAeolylian
Scale 3379Scale 3379: Verdi's Scala Enigmatica Descending, Ian Ring Music TheoryVerdi's Scala Enigmatica Descending
Scale 3331Scale 3331, Ian Ring Music Theory
Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic
Scale 3395Scale 3395, Ian Ring Music Theory
Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
Scale 3491Scale 3491: Tharian, Ian Ring Music TheoryTharian
Scale 3107Scale 3107, Ian Ring Music Theory
Scale 3235Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
Scale 3619Scale 3619: Thanimic, Ian Ring Music TheoryThanimic
Scale 3875Scale 3875: Aeryptian, Ian Ring Music TheoryAeryptian
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic

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.