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Scale 3531: "Neveseri"

Scale 3531: Neveseri, 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

Unknown / Unsorted
Neveseri
Zeitler
Dycryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,6,7,8,10,11}
Forte Number8-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2679
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes7
Prime?no
prime: 759
Deep Scaleno
Interval Vector555562
Interval Spectrump6m5n5s5d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Maximal Area Setno
Interior Area2.616
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 TriadsD♯{3,7,10}331.7
F♯{6,10,1}252.5
G♯{8,0,3}252.5
B{11,3,6}331.7
Minor Triadscm{0,3,7}341.9
d♯m{3,6,10}341.9
g♯m{8,11,3}242.1
Augmented TriadsD♯+{3,7,11}431.5
Diminished Triads{0,3,6}242.1
{7,10,1}242.3
Parsimonious Voice Leading Between Common Triads of Scale 3531. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ G# G# cm->G# d#m d#m D# D# d#m->D# F# F# d#m->F# d#m->B D#->D#+ D#->g° g#m g#m D#+->g#m D#+->B F#->g° g#m->G#

view full size

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.

Diameter5
Radius3
Self-Centeredno
Central VerticesD♯, D♯+, B
Peripheral VerticesF♯, G♯

Modes

Modes are the rotational transformation of this scale. Scale 3531 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3813
Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
3rd mode:
Scale 1977
Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
4th mode:
Scale 759
Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllicThis is the prime mode
5th mode:
Scale 2427
Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic
6th mode:
Scale 3261
Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
7th mode:
Scale 1839
Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
8th mode:
Scale 2967
Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic

Prime

The prime form of this scale is Scale 759

Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic

Complement

The octatonic modal family [3531, 3813, 1977, 759, 2427, 3261, 1839, 2967] (Forte: 8-14) is the complement of the tetratonic modal family [141, 417, 1059, 2577] (Forte: 4-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3531 is 2679

Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3531 is chiral, and its enantiomorph is scale 2679

Scale 2679Scale 2679: Rathyllic, Ian Ring Music TheoryRathyllic

Transformations:

T0 3531  T0I 2679
T1 2967  T1I 1263
T2 1839  T2I 2526
T3 3678  T3I 957
T4 3261  T4I 1914
T5 2427  T5I 3828
T6 759  T6I 3561
T7 1518  T7I 3027
T8 3036  T8I 1959
T9 1977  T9I 3918
T10 3954  T10I 3741
T11 3813  T11I 3387

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 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
Scale 3523Scale 3523, Ian Ring Music Theory
Scale 3527Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3467Scale 3467: Katonian, Ian Ring Music TheoryKatonian
Scale 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 3403Scale 3403: Bylian, Ian Ring Music TheoryBylian
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 4043Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic
Scale 2507Scale 2507: Todi That, Ian Ring Music TheoryTodi That
Scale 3019Scale 3019, Ian Ring Music Theory
Scale 1483Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya

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.