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Scale 1615: "Sydian"

Scale 1615: Sydian, 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

Zeitler
Sydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,6,9,10}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3661
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1615 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2855
Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
3rd mode:
Scale 3475
Scale 3475: Kylian, Ian Ring Music TheoryKylian
4th mode:
Scale 3785
Scale 3785: Epagian, Ian Ring Music TheoryEpagian
5th mode:
Scale 985
Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
6th mode:
Scale 635
Scale 635: Epolian, Ian Ring Music TheoryEpolian
7th mode:
Scale 2365
Scale 2365: Sythian, Ian Ring Music TheorySythian

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [1615, 2855, 3475, 3785, 985, 635, 2365] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1615 is 3661

Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1615 is chiral, and its enantiomorph is scale 3661

Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian

Transformations:

T0 1615  T0I 3661
T1 3230  T1I 3227
T2 2365  T2I 2359
T3 635  T3I 623
T4 1270  T4I 1246
T5 2540  T5I 2492
T6 985  T6I 889
T7 1970  T7I 1778
T8 3940  T8I 3556
T9 3785  T9I 3017
T10 3475  T10I 1939
T11 2855  T11I 3878

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 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
Scale 1551Scale 1551, Ian Ring Music Theory
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1743Scale 1743: Epigyllic, Ian Ring Music TheoryEpigyllic
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 1103Scale 1103: Lynimic, Ian Ring Music TheoryLynimic
Scale 1359Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
Scale 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 3663Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.