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Scale 1341: "Madian"

Scale 1341: Madian, 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
Madian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,8,10}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1941
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1341 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1359
Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
3rd mode:
Scale 2727
Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
4th mode:
Scale 3411
Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
5th mode:
Scale 3753
Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
6th mode:
Scale 981
Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
7th mode:
Scale 1269
Scale 1269: Katythian, Ian Ring Music TheoryKatythian

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [1341, 1359, 2727, 3411, 3753, 981, 1269] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1341 is 1941

Scale 1941Scale 1941: Aeranian, Ian Ring Music TheoryAeranian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1341 is chiral, and its enantiomorph is scale 1941

Scale 1941Scale 1941: Aeranian, Ian Ring Music TheoryAeranian

Transformations:

T0 1341  T0I 1941
T1 2682  T1I 3882
T2 1269  T2I 3669
T3 2538  T3I 3243
T4 981  T4I 2391
T5 1962  T5I 687
T6 3924  T6I 1374
T7 3753  T7I 2748
T8 3411  T8I 1401
T9 2727  T9I 2802
T10 1359  T10I 1509
T11 2718  T11I 3018

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 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1085Scale 1085, Ian Ring Music Theory
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1597Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic
Scale 829Scale 829: Lygian, Ian Ring Music TheoryLygian
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic

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.