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Scale 1183: "Sadian"

Scale 1183: Sadian, 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
Sadian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,7,10}
Forte Number7-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3877
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 607
Deep Scaleno
Interval Vector445332
Interval Spectrump3m3n5s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {9,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1183 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2639
Scale 2639: Dothian, Ian Ring Music TheoryDothian
3rd mode:
Scale 3367
Scale 3367: Moptian, Ian Ring Music TheoryMoptian
4th mode:
Scale 3731
Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
5th mode:
Scale 3913
Scale 3913: Bonian, Ian Ring Music TheoryBonian
6th mode:
Scale 1001
Scale 1001: Badian, Ian Ring Music TheoryBadian
7th mode:
Scale 637
Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic

Prime

The prime form of this scale is Scale 607

Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian

Complement

The heptatonic modal family [1183, 2639, 3367, 3731, 3913, 1001, 637] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1183 is 3877

Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1183 is chiral, and its enantiomorph is scale 3877

Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian

Transformations:

T0 1183  T0I 3877
T1 2366  T1I 3659
T2 637  T2I 3223
T3 1274  T3I 2351
T4 2548  T4I 607
T5 1001  T5I 1214
T6 2002  T6I 2428
T7 4004  T7I 761
T8 3913  T8I 1522
T9 3731  T9I 3044
T10 3367  T10I 1993
T11 2639  T11I 3986

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 1181Scale 1181: Katagimic, Ian Ring Music TheoryKatagimic
Scale 1179Scale 1179: Sonimic, Ian Ring Music TheorySonimic
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1247Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic
Scale 1055Scale 1055, Ian Ring Music Theory
Scale 1119Scale 1119: Rarian, Ian Ring Music TheoryRarian
Scale 1311Scale 1311: Bynian, Ian Ring Music TheoryBynian
Scale 1439Scale 1439: Rolyllic, Ian Ring Music TheoryRolyllic
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
Scale 159Scale 159, Ian Ring Music Theory
Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 3231Scale 3231: Kataptyllic, Ian Ring Music TheoryKataptyllic

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.