Negri in zeta-stretched 47edo: Difference between revisions

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This page lists [[MOS scale]]s of [[Negri]] temperament in [[The Riemann Zeta Function and Tuning#Optimal Octave Stretch|zeta-stretched]] [[47edo]], and some interesting subsets thereof. Tunings are given in [[cents]].
This page lists [[mos scale]]s of [[negri]] temperament in [[the Riemann zeta function and tuning#Optimal octave stretch|zeta-stretched]] [[47edo]] (σ = 0.5), and some interesting subsets thereof. Tunings are given in [[cents]].
 
Modes of a mos scale are still considered to be the same mos scale, so subsets of those are still valid.


Feel free to add to it with new subsets or [[MODMOS]]es you discover.
Feel free to add to it with new subsets or [[MODMOS]]es you discover.


=Negri[5]=
== Negri[5] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 10: Line 12:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===
 
Bustling Docks
* 255.286
* 510.573
* 689.274
* 944.561
* 1199.847
 
Cavernous
* 255.286
* 510.573
* 689.274
* 1072.204
* 1199.847


Formicarium
== Negri[6] ==
* 255.286
* 382.93
* 689.274
* 944.561
* 1199.847
 
Understory
* 255.286
* 382.93
* 689.274
* 816.918
* 1199.847
 
=Negri[6]=
* '''127.643'''
* '''127.643'''
* '''689.274'''
* '''689.274'''
Line 48: Line 22:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


Negri Blues
== Negri[7] ==
* 255.287
* 510.573
* 561.630
* 689.274
* 944.560
* 1199.847
 
=Negri[7]=
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 67: Line 33:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===
 
Double Harmonic
* 127.643
* 382.930
* 510.573
* 689.274
* 816.917
* 1072.204
* 1199.847
 
Negri Blues Heptatonic
* 255.287
* 510.573
* 561.630
* 689.274
* 893.503
* 944.560
* 1199.847


===Subsets===
=== Subsets ===


=Negri[8]=
== Negri[8] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 100: Line 48:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


Negri Blues Octatonic
=== Subsets ===
* 127.643
* 382.930
* 510.573
* 689.274
* 816.917
* 1021.146
* 1072.204
* 1199.847


===Subsets===
== Negri[9] ==
 
=Negri[9]=
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 125: Line 63:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


===Subsets===
=== Subsets ===


Bustling Docks
Bustling Docks (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 510.573
* 510.573
Line 136: Line 74:
* 1199.847
* 1199.847


Cavernous
Cavernous (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 510.573
* 510.573
Line 143: Line 81:
* 1199.847
* 1199.847


Double Harmonic
Double Harmonic (approximated from [[12edo]])
* 127.643
* 127.643
* 382.930
* 382.930
Line 152: Line 90:
* 1199.847
* 1199.847


Formicarium
Formicarium (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 382.93
* 382.93
Line 159: Line 97:
* 1199.847
* 1199.847


Understory
[[Sahara]] septatonic (approximated subset from POTE Sahara[9])
* 255.287
* 382.930
* 510.573
* 689.274
* 944.560
* 1072.204
* 1199.847
 
Understory (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 382.93
* 382.93
Line 166: Line 113:
* 1199.847
* 1199.847


=Negri[10]=
== Negri[10] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 178: Line 125:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


===Subsets===
=== Subsets ===


Negri Blues
Negri Blues (approximated from Negri in [[67edo]])
* 255.287
* 255.287
* 510.573
* 510.573
Line 190: Line 137:
* 1199.847
* 1199.847


=Negri[19]=
== Negri[19] ==
* '''51.057'''
* '''51.057'''
* '''127.643'''
* '''127.643'''
Line 211: Line 158:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


===Subsets===
=== Subsets ===


Negri Blues Heptatonic
Negri Blues Heptatonic (approximated from Negri in [[67edo]])
* 255.287
* 255.287
* 510.573
* 510.573
Line 224: Line 171:
* 1199.847
* 1199.847


Negri Blues Octatonic
Negri Blues Octatonic (approximated from Negri in [[67edo]])
* 127.643
* 127.643
* 382.930
* 382.930
Line 234: Line 181:
* 1199.847
* 1199.847


=Negri[28]=
== Negri[28] ==
* '''51.057'''
* '''51.057'''
* '''76.586'''
* '''76.586'''
Line 264: Line 211:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===
 
===Subsets===


Palace
=== Subsets ===
* 178.701
* 306.344
* 510.573
* 689.274
* 867.974
* 995.618
* 1199.847


=Negri[47]=
== Negri[47] ==
* '''25.529'''
* '''25.529'''
* '''51.057'''
* '''51.057'''
Line 326: Line 264:
* '''1199.847'''
* '''1199.847'''


===Subsets===
=== Subsets ===
 
=Related articles=
* [[Negri]]
* [[47edo]]
* [[The Riemann Zeta Function and Tuning]]
* [[MOS scale]]
* [[MODMOS]]
* [[5- to 10-tone scales in 29edo]] (has a section for Negri)


[[Category:Tempered scales]]
[[Category:Tempered scales]]
[[Category:7-tone scales]]
[[Category:Pages with mostly numerical content]]
[[Category:9-tone scales]]
[[Category:10-tone scales]]
[[Category:19-tone scales]]
[[Category:28-tone scales]]
[[Category:47-tone scales]]
[[Category:MOS scales]]
[[Category:Negri]]
[[Category:Negri]]
[[Category:Zeta]]
[[Category:Zeta]]
[[Category:47edo]]
[[Category:47edo]]
{{Todo| cleanup | review }}