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Scale 3289: "Lydian Sharp 2 Sharp 6"

Scale 3289: Lydian Sharp 2 Sharp 6, 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

Western Altered
Lydian Sharp 2 Sharp 6
Carnatic Mela
Mela Rasikapriya
Carnatic Raga
Raga Rasamanjari
Unknown / Unsorted
Hamsagiri
Zeitler
Loptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,6,7,10,11}
Forte Number7-22
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 871
Deep Scaleno
Interval Vector424542
Interval Spectrump4m5n4s2d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9,10}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedyes
Ridge Tones[10]
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 TriadsC{0,4,7}242
D♯{3,7,10}331.67
B{11,3,6}331.67
Minor Triadscm{0,3,7}331.67
d♯m{3,6,10}242
em{4,7,11}331.67
Augmented TriadsD♯+{3,7,11}421.33
Diminished Triads{0,3,6}242
{4,7,10}242
Parsimonious Voice Leading Between Common Triads of Scale 3289. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B C C cm->C D#+ D#+ cm->D#+ em em C->em d#m d#m D# D# d#m->D# d#m->B D#->D#+ D#->e° D#+->em D#+->B e°->em

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.

Diameter4
Radius2
Self-Centeredno
Central VerticesD♯+
Peripheral Verticesc°, C, d♯m, e°

Modes

Modes are the rotational transformation of this scale. Scale 3289 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 923
Scale 923: Ultraphrygian, Ian Ring Music TheoryUltraphrygian
3rd mode:
Scale 2509
Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
4th mode:
Scale 1651
Scale 1651: Asian, Ian Ring Music TheoryAsian
5th mode:
Scale 2873
Scale 2873: Ionian Augmented Sharp 2, Ian Ring Music TheoryIonian Augmented Sharp 2
6th mode:
Scale 871
Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7This is the prime mode
7th mode:
Scale 2483
Scale 2483: Double Harmonic, Ian Ring Music TheoryDouble Harmonic

Prime

The prime form of this scale is Scale 871

Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7

Complement

The heptatonic modal family [3289, 923, 2509, 1651, 2873, 871, 2483] (Forte: 7-22) is the complement of the pentatonic modal family [403, 611, 793, 2249, 2353] (Forte: 5-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3289 is 871

Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7

Transformations:

T0 3289  T0I 871
T1 2483  T1I 1742
T2 871  T2I 3484
T3 1742  T3I 2873
T4 3484  T4I 1651
T5 2873  T5I 3302
T6 1651  T6I 2509
T7 3302  T7I 923
T8 2509  T8I 1846
T9 923  T9I 3692
T10 1846  T10I 3289
T11 3692  T11I 2483

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 3291Scale 3291: Lygyllic, Ian Ring Music TheoryLygyllic
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian
Scale 3321Scale 3321: Epagyllic, Ian Ring Music TheoryEpagyllic
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 3161Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
Scale 3417Scale 3417: Golian, Ian Ring Music TheoryGolian
Scale 3545Scale 3545: Thyptyllic, Ian Ring Music TheoryThyptyllic
Scale 3801Scale 3801: Maptyllic, Ian Ring Music TheoryMaptyllic
Scale 2265Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
Scale 2777Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
Scale 1241Scale 1241: Pygimic, Ian Ring Music TheoryPygimic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.