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Scale 1605: "Zanitonic"

Scale 1605: Zanitonic, 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
Zanitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,9,10}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1101
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1605 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1425
Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
3rd mode:
Scale 345
Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
4th mode:
Scale 555
Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
5th mode:
Scale 2325
Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [1605, 1425, 345, 555, 2325] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1605 is 1101

Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1605 is chiral, and its enantiomorph is scale 1101

Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic

Transformations:

T0 1605  T0I 1101
T1 3210  T1I 2202
T2 2325  T2I 309
T3 555  T3I 618
T4 1110  T4I 1236
T5 2220  T5I 2472
T6 345  T6I 849
T7 690  T7I 1698
T8 1380  T8I 3396
T9 2760  T9I 2697
T10 1425  T10I 1299
T11 2850  T11I 2598

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 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1601Scale 1601, Ian Ring Music Theory
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1609Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
Scale 1541Scale 1541, Ian Ring Music Theory
Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
Scale 1669Scale 1669: Raga Matha Kokila, Ian Ring Music TheoryRaga Matha Kokila
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
Scale 1861Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic

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.