User:Fitzgerald Lee/Fulcrum - Revision history

Fitzgerald Lee at 04:13, 28 February 2026

2026-02-28T04:13:16Z

← Older revision		Revision as of 04:13, 28 February 2026
Line 1:		Line 1:
	Fulcrum is named after its generator, a flat 5-limit chroma, [[25/24]], and its [[ploidacot]] is kappagamma icosapentacot, as it takes 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) minus 13 [[2/1]]<nowiki/>s to reach [[3/2]].		Fulcrum is named after its generator, a flat [[5-limit]] chroma, [[25/24]], and its [[ploidacot]] is kappagamma icosapentacot, as it takes 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) minus 13 [[2/1]]<nowiki/>s to reach [[3/2]].

	== Tuning spectra ==		== Tuning spectra ==

Fitzgerald Lee at 04:13, 28 February 2026

2026-02-28T04:13:04Z

← Older revision		Revision as of 04:13, 28 February 2026
Line 1:		Line 1:
	Fulcrum is named after its generator, a flat chroma (25/24) and its [[ploidacot]] is kappagamma icosapentacot, as it takes 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) minus 13 [[2/1]]<nowiki/>s to reach [[3/2]].		Fulcrum is named after its generator, a flat 5-limit chroma, [[25/24]], and its [[ploidacot]] is kappagamma icosapentacot, as it takes 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) minus 13 [[2/1]]<nowiki/>s to reach [[3/2]].

	== Tuning spectra ==		== Tuning spectra ==

Fitzgerald Lee at 04:08, 28 February 2026

2026-02-28T04:08:22Z

← Older revision		Revision as of 04:08, 28 February 2026
Line 1:		Line 1:
	Fulcrum is kappagamma icosapentacot, as it takes ~~13 [[2/1]]<nowiki/>s and~~ 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) to reach [[3/2]].		Fulcrum is named after its generator, a flat chroma (25/24) and its [[ploidacot]] is kappagamma icosapentacot, as it takes 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators\|generators]]<nowiki/>, or gens for short) minus 13 [[2/1]]<nowiki/>s to reach [[3/2]].

	== Tuning spectra ==		== Tuning spectra ==

Fitzgerald Lee: Created page with "Fulcrum is kappagamma icosapentacot, as it takes 13 2/1s and 25 48/25s (-25 generators, or gens for short) to reach 3/2. == Tuning spectra == === Fulcrum === {| class="wikitable center-all left-4" |- ! Edo
generator ! Unchanged interval
(eigenmonzo) ! Generator (¢) ! Comments |- | 1\18 | | 66.667 | 25/24s slightly flatter than this fall under s..."

2026-02-17T05:11:57Z

Created page with "Fulcrum is kappagamma icosapentacot, as it takes 13 2/1<nowiki/>s and 25 48/25<nowiki/>s (-25 generators<nowiki/>, or gens for short) to reach 3/2. == Tuning spectra == === Fulcrum === {| class="wikitable center-all left-4" |- ! Edo generator ! Unchanged interval (eigenmonzo) ! Generator (¢) ! Comments |- | 1\18 | | 66.667 | 25/24s slightly flatter than this fall under s..."

New page

Fulcrum is kappagamma icosapentacot, as it takes 13 [[2/1]]<nowiki/>s and 25 [[48/25]]<nowiki/>s (-25 [[Periods and generators#Introduction to generators|generators]]<nowiki/>, or gens for short) to reach [[3/2]].

== Tuning spectra ==
=== Fulcrum ===
{| class="wikitable center-all left-4"
|-
! Edo generator
! [[Eigenmonzo|Unchanged interval (eigenmonzo)]]
! Generator (¢)
! Comments
|-
| [[18edo|1\18]]
|
| 66.667
| 25/24s slightly flatter than this fall under [[sycamore]]
|-
|
| [[125/96]]
| 67.547
| 1/11-comma
|-
| [[71edo|4\71]]
|
| 67.606
|
|-
| [[124edo|7\124]]
|
| 67.742
|
|-
| [[177edo|10\177]]
|
| 67.797
|
|-
|
| [[5/4]]
| 67.807
| 1/12-comma
|-
| [[230edo|13\230]]
|
| 67.826
|
|-
| [[283edo|16\283]]
|
| 67.845
|
|-
| [[336edo|19\336]]
|
| 67.857
|
|-
|
| [[75/64]]
| 67.8657
| 4/49-comma
|-
| [[389edo|22\389]]
|
| 67.8663
|
|-
| [[442edo|25\442]]
|
| 67.873
|
|-
| [[495edo|28\495]]
|
| 67.879
|
|-
| [[548edo|31\548]]
|
| 67.883
|
|-
|
| [[15/8]]
| 67.885
| 3/37-comma
|-
| [[601edo|34\601]]
|
| 67.887
|
|-
|
| [[3/2]]
| 67.922
| 2/25-comma
|-
| [[53edo|3\53]]
|
| 67.925
|
|-
|
| [[10/9]]
| 67.958
| 3/38-comma
|-
|
| [[5/3]]
| 68.028
| 1/13-comma
|-
| [[194edo|11\194]]
|
| 68.041
|
|-
| [[141edo|8\141]]
|
| 68.085
|
|-
| [[88edo|5\88]]
|
| 68.182
|
|-
|
| [[125/72]]
| 68.217
| 1/14-comma
|-
| [[35edo|2\35]]
|
| 68.571
|
|-
|
| [[25/24]]
| 70.672
| Untempered, 25/24s slightly sharper than this fall under [[vishnu]]
|}
=== Septimal Fulcrum ===
{| class="wikitable center-all left-4"
|-
! Edo generator
! [[Eigenmonzo|Unchanged interval (eigenmonzo)]]
! Generator (¢)
! Comments
|-
|
| [[25/14]]
| 65.399
| -3 gens
|-
| [[18edo|1\18]]
|
| 66.667
|
|-
|
| [[7/6]]
| 66.718
| +4 gens
|-
|
| [[15/14]]
| 67.535
| -16 gens
|-
|
| [[9/7]]
| 67.756
| -29 gens
|-
| [[53edo|3\53]]
|
| 67.925
|
|-
|
| [[21/16]]
| 68.027
| -46 gens
|-
| [[194edo|11\194]]
|
| 68.041
|
|-
| [[141edo|8\141]]
|
| 68.085
|
|-
|
| [[21/20]]
| 68.104
| -34 gens
|-
|
| [[7/4]]
| 68.151
| -21 gens
|-
| [[88edo|5\88]]
|
| 68.182
|
|-
|
| [[25/21]]
| 68.266
| +22 gens
|-
| [[35edo|2\35]]
|
| 68.571
|
|-
|
| [[7/5]]
| 68.610
| -9 gens
|}

=== Septimal Extension 1 ===
{| class="wikitable center-all left-4"
|-
! Edo generator
! [[Eigenmonzo|Unchanged interval (eigenmonzo)]]
! Generator (¢)
! Comments
|-
| [[18edo|1\18]]
|
| 66.667
| 18d val
|-
|
| [[21/16]]
| 67.254
| +7 gens
|-
|
| [[21/20]]
| 67.604
| +19 gens
|-
| [[71edo|4\71]]
|
| 67.606
|
|-
|
| [[25/21]]
| 67.682
| -31 gens
|-
| [[124edo|7\124]]
|
| 67.742
|
|-
|
| [[7/4]]
| 67.776
| +32 gens
|-
|
| [[7/5]]
| 67.784
| +44 gens
|-
|
| [[25/14]]
| 67.789
| -56 gens
|-
| [[177edo|10\177]]
|
| 67.797
|
|-
| [[230edo|13\230]]
|
| 67.826
|
|-
|
| [[15/14]]
| 67.834
| -69 gens
|-
|
| [[7/6]]
| 67.840
| +57 gens
|-
|
| [[9/7]]
| 67.865
| -82 gens
|-
| [[53edo|3\53]]
|
| 67.925
|
|-
| [[35edo|2\35]]
|
| 68.571
| 35d val
|}