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
* 255.286
* 382.93
* 689.274
* 944.561
* 1199.847
 
Understory
* 255.286
* 382.93
* 689.274
* 816.918
* 1199.847


=Negri[6]=
== Negri[6] ==
* '''127.643'''
* '''127.643'''
* '''689.274'''
* '''689.274'''
Line 48: Line 22:
* '''1199.847'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===
 
Negri Blues
* 255.287
* 510.573
* 561.630
* 689.274
* 944.560
* 1199.847


=Negri[7]=
== Negri[7] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 67: Line 33:
* '''1199.847'''
* '''1199.847'''


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


Double Harmonic
=== Subsets ===
* 127.643
* 382.930
* 510.573
* 689.274
* 816.917
* 1072.204
* 1199.847


===Subsets===
== Negri[8] ==
 
=Negri[8]=
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 91: Line 48:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[9]=
== Negri[9] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 106: 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 117: Line 74:
* 1199.847
* 1199.847


Cavernous
Cavernous (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 510.573
* 510.573
Line 124: Line 81:
* 1199.847
* 1199.847


Double Harmonic
Double Harmonic (approximated from [[12edo]])
* 127.643
* 127.643
* 382.930
* 382.930
Line 133: Line 90:
* 1199.847
* 1199.847


Formicarium
Formicarium (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 382.93
* 382.93
Line 140: 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 147: Line 113:
* 1199.847
* 1199.847


=Negri[10]=
== Negri[10] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 159: Line 125:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[19]=
Negri Blues (approximated from Negri in [[67edo]])
* 255.287
* 510.573
* 561.630
* 689.274
* 944.560
* 1199.847
 
== Negri[19] ==
* '''51.057'''
* '''51.057'''
* '''127.643'''
* '''127.643'''
Line 184: Line 158:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[28]=
Negri Blues Heptatonic (approximated from Negri in [[67edo]])
* 255.287
* 510.573
* 561.630
* 689.274
* 893.503
* 944.560
* 1199.847
 
Negri Blues Octatonic (approximated from Negri in [[67edo]])
* 127.643
* 382.930
* 510.573
* 689.274
* 816.917
* 1021.146
* 1072.204
* 1199.847
 
== Negri[28] ==
* '''51.057'''
* '''51.057'''
* '''76.586'''
* '''76.586'''
Line 218: Line 211:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[47]=
== Negri[47] ==
* '''25.529'''
* '''25.529'''
* '''51.057'''
* '''51.057'''
Line 271: 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 }}

Latest revision as of 03:05, 24 June 2025

This page lists mos scales of negri temperament in 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 MODMOSes you discover.

Negri[5]

  • 127.643
  • 255.287
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Negri[6]

  • 127.643
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Negri[7]

  • 127.643
  • 255.287
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Negri[8]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Negri[9]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Bustling Docks (approximated from Negri in 67edo)

  • 255.286
  • 510.573
  • 689.274
  • 944.561
  • 1199.847

Cavernous (approximated from Negri in 67edo)

  • 255.286
  • 510.573
  • 689.274
  • 1072.204
  • 1199.847

Double Harmonic (approximated from 12edo)

  • 127.643
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 1072.204
  • 1199.847

Formicarium (approximated from Negri in 67edo)

  • 255.286
  • 382.93
  • 689.274
  • 944.561
  • 1199.847

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
  • 382.93
  • 689.274
  • 816.918
  • 1199.847

Negri[10]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 561.630
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Negri Blues (approximated from Negri in 67edo)

  • 255.287
  • 510.573
  • 561.630
  • 689.274
  • 944.560
  • 1199.847

Negri[19]

  • 51.057
  • 127.643
  • 178.701
  • 255.287
  • 306.344
  • 382.930
  • 433.987
  • 510.573
  • 561.630
  • 638.216
  • 689.274
  • 765.860
  • 816.917
  • 893.503
  • 944.560
  • 1021.146
  • 1072.204
  • 1148.790
  • 1199.847

MODMOSes

Subsets

Negri Blues Heptatonic (approximated from Negri in 67edo)

  • 255.287
  • 510.573
  • 561.630
  • 689.274
  • 893.503
  • 944.560
  • 1199.847

Negri Blues Octatonic (approximated from Negri in 67edo)

  • 127.643
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 1021.146
  • 1072.204
  • 1199.847

Negri[28]

  • 51.057
  • 76.586
  • 127.643
  • 178.701
  • 204.229
  • 255.287
  • 306.344
  • 331.873
  • 382.930
  • 433.987
  • 459.516
  • 510.573
  • 561.630
  • 587.159
  • 638.216
  • 689.274
  • 740.331
  • 765.860
  • 816.917
  • 867.974
  • 893.503
  • 944.560
  • 995.618
  • 1021.146
  • 1072.204
  • 1123.261
  • 1148.790
  • 1199.847

MODMOSes

Subsets

Negri[47]

  • 25.529
  • 51.057
  • 76.586
  • 102.115
  • 127.643
  • 153.172
  • 178.701
  • 204.229
  • 229.758
  • 255.287
  • 280.815
  • 306.344
  • 331.873
  • 357.401
  • 382.930
  • 408.458
  • 433.987
  • 459.516
  • 485.044
  • 510.573
  • 536.102
  • 561.630
  • 587.159
  • 612.688
  • 638.216
  • 663.745
  • 689.273
  • 714.802
  • 740.331
  • 765.860
  • 791.388
  • 816.917
  • 842.446
  • 867.974
  • 893.503
  • 919.032
  • 944.560
  • 970.089
  • 995.618
  • 1021.146
  • 1046.675
  • 1072.204
  • 1097.732
  • 1123.261
  • 1148.790
  • 1174.318
  • 1199.847

Subsets

Retrieved from "https://en.xen.wiki/index.php?title=Negri_in_zeta-stretched_47edo&oldid=203182"