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Scale 1583: "Salian"

Scale 1583: Salian, 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
Salian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,5,9,10}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3725
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 379
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1583 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2839
Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
3rd mode:
Scale 3467
Scale 3467: Katonian, Ian Ring Music TheoryKatonian
4th mode:
Scale 3781
Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
5th mode:
Scale 1969
Scale 1969: Stylian, Ian Ring Music TheoryStylian
6th mode:
Scale 379
Scale 379: Aeragian, Ian Ring Music TheoryAeragianThis is the prime mode
7th mode:
Scale 2237
Scale 2237: Epothian, Ian Ring Music TheoryEpothian

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [1583, 2839, 3467, 3781, 1969, 379, 2237] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1583 is 3725

Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1583 is chiral, and its enantiomorph is scale 3725

Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian

Transformations:

T0 1583  T0I 3725
T1 3166  T1I 3355
T2 2237  T2I 2615
T3 379  T3I 1135
T4 758  T4I 2270
T5 1516  T5I 445
T6 3032  T6I 890
T7 1969  T7I 1780
T8 3938  T8I 3560
T9 3781  T9I 3025
T10 3467  T10I 1955
T11 2839  T11I 3910

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 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1551Scale 1551, Ian Ring Music Theory
Scale 1567Scale 1567, Ian Ring Music Theory
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1071Scale 1071, Ian Ring Music Theory
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 2607Scale 2607: Aerolian, Ian Ring Music TheoryAerolian
Scale 3631Scale 3631: Gydyllic, Ian Ring Music TheoryGydyllic

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.