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Scale 1579: "Sagimic"

Scale 1579: Sagimic, 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
Sagimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,5,9,10}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2701
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 347
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1579 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2837
Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
3rd mode:
Scale 1733
Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
4th mode:
Scale 1457
Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
5th mode:
Scale 347
Scale 347: Barimic, Ian Ring Music TheoryBarimicThis is the prime mode
6th mode:
Scale 2221
Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi

Prime

The prime form of this scale is Scale 347

Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic

Complement

The hexatonic modal family [1579, 2837, 1733, 1457, 347, 2221] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1579 is 2701

Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1579 is chiral, and its enantiomorph is scale 2701

Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian

Transformations:

T0 1579  T0I 2701
T1 3158  T1I 1307
T2 2221  T2I 2614
T3 347  T3I 1133
T4 694  T4I 2266
T5 1388  T5I 437
T6 2776  T6I 874
T7 1457  T7I 1748
T8 2914  T8I 3496
T9 1733  T9I 2897
T10 3466  T10I 1699
T11 2837  T11I 3398

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 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)
Scale 1581Scale 1581: Raga Bagesri, Ian Ring Music TheoryRaga Bagesri
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1571Scale 1571: Lagitonic, Ian Ring Music TheoryLagitonic
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1643Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian
Scale 1067Scale 1067, Ian Ring Music Theory
Scale 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 555Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian

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.