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Scale 3477: "Kyptian"

Scale 3477: Kyptian, 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
Kyptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,7,8,10,11}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1335
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
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}231.75
E{4,8,11}331.5
G{7,11,2}331.5
Minor Triadsem{4,7,11}421.25
gm{7,10,2}242
Augmented TriadsC+{0,4,8}242
Diminished Triads{4,7,10}231.75
g♯°{8,11,2}231.75
Parsimonious Voice Leading Between Common Triads of Scale 3477. Created by Ian Ring ©2019 C C C+ C+ C->C+ em em C->em E E C+->E e°->em gm gm e°->gm em->E Parsimonious Voice Leading Between Common Triads of Scale 3477. Created by Ian Ring ©2019 G em->G g#° g#° E->g#° gm->G G->g#°

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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 Verticesem
Peripheral VerticesC+, gm

Modes

Modes are the rotational transformation of this scale. Scale 3477 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1893
Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
3rd mode:
Scale 1497
Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
4th mode:
Scale 699
Scale 699: Aerothian, Ian Ring Music TheoryAerothianThis is the prime mode
5th mode:
Scale 2397
Scale 2397: Stagian, Ian Ring Music TheoryStagian
6th mode:
Scale 1623
Scale 1623: Lothian, Ian Ring Music TheoryLothian
7th mode:
Scale 2859
Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [3477, 1893, 1497, 699, 2397, 1623, 2859] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3477 is 1335

Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3477 is chiral, and its enantiomorph is scale 1335

Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale

Transformations:

T0 3477  T0I 1335
T1 2859  T1I 2670
T2 1623  T2I 1245
T3 3246  T3I 2490
T4 2397  T4I 885
T5 699  T5I 1770
T6 1398  T6I 3540
T7 2796  T7I 2985
T8 1497  T8I 1875
T9 2994  T9I 3750
T10 1893  T10I 3405
T11 3786  T11I 2715

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 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3541Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
Scale 3349Scale 3349: Aeolocrimic, Ian Ring Music TheoryAeolocrimic
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3733Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
Scale 3989Scale 3989: Sythyllic, Ian Ring Music TheorySythyllic
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic

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.