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Scale 1629: "Synian"

Scale 1629: Synian, 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
Synian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,6,9,10}
Forte Number7-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1869
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 747
Deep Scaleno
Interval Vector344433
Interval Spectrump3m4n4s4d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
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 TriadsD{2,6,9}331.63
Minor Triadsd♯m{3,6,10}331.63
am{9,0,4}231.88
Augmented TriadsD+{2,6,10}231.75
Diminished Triads{0,3,6}231.75
d♯°{3,6,9}231.75
f♯°{6,9,0}231.75
{9,0,3}231.88
Parsimonious Voice Leading Between Common Triads of Scale 1629. Created by Ian Ring ©2019 d#m d#m c°->d#m c°->a° D D D+ D+ D->D+ d#° d#° D->d#° f#° f#° D->f#° D+->d#m d#°->d#m am am f#°->am a°->am

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.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1629 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1431
Scale 1431: Phragian, Ian Ring Music TheoryPhragian
3rd mode:
Scale 2763
Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
4th mode:
Scale 3429
Scale 3429: Marian, Ian Ring Music TheoryMarian
5th mode:
Scale 1881
Scale 1881: Katorian, Ian Ring Music TheoryKatorian
6th mode:
Scale 747
Scale 747: Lynian, Ian Ring Music TheoryLynianThis is the prime mode
7th mode:
Scale 2421
Scale 2421: Malian, Ian Ring Music TheoryMalian

Prime

The prime form of this scale is Scale 747

Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian

Complement

The heptatonic modal family [1629, 1431, 2763, 3429, 1881, 747, 2421] (Forte: 7-28) is the complement of the pentatonic modal family [333, 837, 1107, 1233, 2601] (Forte: 5-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1629 is 1869

Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1629 is chiral, and its enantiomorph is scale 1869

Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian

Transformations:

T0 1629  T0I 1869
T1 3258  T1I 3738
T2 2421  T2I 3381
T3 747  T3I 2667
T4 1494  T4I 1239
T5 2988  T5I 2478
T6 1881  T6I 861
T7 3762  T7I 1722
T8 3429  T8I 3444
T9 2763  T9I 2793
T10 1431  T10I 1491
T11 2862  T11I 2982

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 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 1645Scale 1645: Dorian Flat 5, Ian Ring Music TheoryDorian Flat 5
Scale 1661Scale 1661: Gonyllic, Ian Ring Music TheoryGonyllic
Scale 1565Scale 1565, Ian Ring Music Theory
Scale 1597Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
Scale 1693Scale 1693: Dogian, Ian Ring Music TheoryDogian
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 3677Scale 3677, Ian Ring Music Theory

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.