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Scale 1521: "Stanian"

Scale 1521: Stanian, 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
Stanian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,6,7,8,10}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 501
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 351
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<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> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1521 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 351
Scale 351: Epanian, Ian Ring Music TheoryEpanianThis is the prime mode
3rd mode:
Scale 2223
Scale 2223: Konian, Ian Ring Music TheoryKonian
4th mode:
Scale 3159
Scale 3159: Stocrian, Ian Ring Music TheoryStocrian
5th mode:
Scale 3627
Scale 3627: Kalian, Ian Ring Music TheoryKalian
6th mode:
Scale 3861
Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian
7th mode:
Scale 1989
Scale 1989: Dydian, Ian Ring Music TheoryDydian

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian

Complement

The heptatonic modal family [1521, 351, 2223, 3159, 3627, 3861, 1989] (Forte: 7-9) is the complement of the pentatonic modal family [87, 1473, 1797, 2091, 3093] (Forte: 5-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1521 is 501

Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1521 is chiral, and its enantiomorph is scale 501

Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian

Transformations:

T0 1521  T0I 501
T1 3042  T1I 1002
T2 1989  T2I 2004
T3 3978  T3I 4008
T4 3861  T4I 3921
T5 3627  T5I 3747
T6 3159  T6I 3399
T7 2223  T7I 2703
T8 351  T8I 1311
T9 702  T9I 2622
T10 1404  T10I 1149
T11 2808  T11I 2298

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 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 1505Scale 1505, Ian Ring Music Theory
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic
Scale 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 1009Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic

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.