Template:Odd-limit intro - Revision history

Hkm: make this look nicer

2025-08-03T21:27:51Z

make this look nicer

← Older revision		Revision as of 21:27, 3 August 2025
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>''a''/''b'' where ''a'', ''b'' ≤ {{{1\|}}} and ''k'' is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ {{{1\|}}} and ''k'' is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}} + 1) / 2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}

Hkm: typo

2025-08-03T21:25:51Z

typo

← Older revision		Revision as of 21:25, 3 August 2025
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>''a''/''b'' where ''a', ''b'' ≤ {{{1\|}}} and ''k'' is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>''a''/''b'' where ''a'', ''b'' ≤ {{{1\|}}} and ''k'' is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}} + 1) / 2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}

Hkm at 21:25, 3 August 2025

2025-08-03T21:25:10Z

← Older revision		Revision as of 21:25, 3 August 2025
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as $2^k~~\frac{~~a}{b}$ where $a, b ~~\leq~~ {{{1\|}}}$ and k is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>''a''/''b'' where ''a', ''b'' ≤ {{{1\|}}} and ''k'' is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}} + 1) / 2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}
	}} pairs of [[~~octavew~~-reduced]] interval{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}		}} pairs of [[octave-reduced]] interval{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all [[octave-~~reduced]] intervals~~ in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all octave-reduced intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>
	{{documentation}}		{{documentation}}

	[[Category:Intro templates]]		[[Category:Intro templates]]
	</noinclude>		</noinclude>

Hkm: I don't think I have any way to preview this edit

2025-08-03T21:21:18Z

I don't think I have any way to preview this edit

← Older revision		Revision as of 21:21, 3 August 2025
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s ~~for~~ which ~~neither the numerator nor the denominator of the [[frequency ratio]] exceeds~~ {{{1\|}}}~~, once all powers of 2 are removed~~. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as $2^k\frac{a}{b}$ where $a, b \leq {{{1\|}}}$ and k is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}} + 1) / 2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}
	}} interval ~~pair~~{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}		}} pairs of [[octavew-reduced]] interval{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>

ArrowHead294 at 19:36, 30 January 2025

2025-01-30T19:36:40Z

← Older revision		Revision as of 19:36, 30 January 2025
Line 5:		Line 5:

	Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>
	~~This template generates an intro (lead section) for [[odd limit]] pages.~~		{{documentation}}

	{{~~doc~~}}

	[[Category:Intro templates]]		[[Category:Intro templates]]
	</noinclude>		</noinclude>

ArrowHead294 at 03:33, 21 August 2024

2024-08-21T03:33:36Z

← Older revision		Revision as of 03:33, 21 August 2024
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr: {{{1\|}}}>1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}}+1)/2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}
	}} interval pair{{#ifexpr: {{{1\|}}}>3\|s\|}} involving {{{1\|}}}.\|}}		}} interval pair{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>

ArrowHead294 at 02:21, 22 May 2024

2024-05-22T02:21:36Z

← Older revision		Revision as of 02:21, 22 May 2024
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr:{{{1\|}}}>1\|To the [[{{#expr:{{{1\|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence\|get_term\|odd_limit_diff\|{{#expr:({{{1\|}}}+1)/2}}}} interval pair{{#ifexpr: {{{1\|}}}>3\|s\|}} involving {{{1\|}}}.\|}}		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr: {{{1\|}}}>1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
			\| odd_limit_diff
			\| {{#expr: ({{{1\|}}}+1)/2}}
			}} interval pair{{#ifexpr: {{{1\|}}}>3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>
	This template generates an intro (lead section) for [[odd limit]] pages.		This template generates an intro (lead section) for [[odd limit]] pages.

	~~== Usage ==~~		{{doc}}
	~~Provide the number of the odd limit as an unnamed argument, e.g. <code><nowiki>~~{{~~odd-limit intro\|5~~}}~~</nowiki></code> for an intro to the [[5-odd-limit]] page.~~

	~~== See also ==~~
	* [[Template:Odd-limit navigation]]

	[[Category:Intro templates]]		[[Category:Intro templates]]
	</noinclude>		</noinclude>

Fredg999: Module:Sequence was fixed, the list of intervals is octave-reduced

2023-09-13T15:36:03Z

Module:Sequence was fixed, the list of intervals is octave-reduced

← Older revision		Revision as of 15:36, 13 September 2023
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr:{{{1\|}}}>1\|To the [[{{#expr:{{{1\|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence\|get_term\|odd_limit_diff\|{{#expr:({{{1\|}}}+1)/2}}}} interval pair{{#ifexpr: {{{1\|}}}>3\|s\|}} involving {{{1\|}}}.\|}}		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1\|}}}, once all powers of 2 are removed. {{#ifexpr:{{{1\|}}}>1\|To the [[{{#expr:{{{1\|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence\|get_term\|odd_limit_diff\|{{#expr:({{{1\|}}}+1)/2}}}} interval pair{{#ifexpr: {{{1\|}}}>3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all ~~intervals~~ in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>
	~~{{todo\|review\|inline=1\|comment=The Lua invoke doesn't work yet.}}~~
	This template generates an intro (lead section) for [[odd limit]] pages.		This template generates an intro (lead section) for [[odd limit]] pages.

	== Usage ==		== Usage ==
	Provide the number of the odd limit as an unnamed argument, e.g. <code><nowiki>{{OL intro\|5}}</nowiki></code> for an intro to the [[5-odd-limit]] page.		Provide the number of the odd limit as an unnamed argument, e.g. <code><nowiki>{{odd-limit intro\|5}}</nowiki></code> for an intro to the [[5-odd-limit]] page.

	== See also ==		== See also ==

Fredg999: Created page with "The '''{{{1|}}}-odd-limit''' is the set of all rational intervals for which neither the numerator nor the denominator of the frequency ratio exceeds {{{1|..."

2023-09-12T03:10:08Z

Created page with "<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all rational intervals for which neither the numerator nor the denominator of the frequency ratio exceeds {{{1|..."

New page

<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1|}}}, once all powers of 2 are removed. {{#ifexpr:{{{1|}}}>1|To the [[{{#expr:{{{1|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence|get_term|odd_limit_diff|{{#expr:({{{1|}}}+1)/2}}}} interval pair{{#ifexpr: {{{1|}}}>3|s|}} involving {{{1|}}}.|}}

Below is a list of all intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
{{todo|review|inline=1|comment=The Lua invoke doesn't work yet.}}
This template generates an intro (lead section) for [[odd limit]] pages.

== Usage ==
Provide the number of the odd limit as an unnamed argument, e.g. <code><nowiki>{{OL intro|5}}</nowiki></code> for an intro to the [[5-odd-limit]] page.

== See also ==
* [[Template:Odd-limit navigation]]

[[Category:Intro templates]]
</noinclude>

← Older revision		Revision as of 21:21, 3 August 2025
Line 1:		Line 1:
	<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s ~~for~~ which ~~neither the numerator nor the denominator of the [[frequency ratio]] exceeds~~ {{{1\|}}}~~, once all powers of 2 are removed~~. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term		<includeonly>The '''{{{1\|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as $2^k\frac{a}{b}$ where $a, b \leq {{{1\|}}}$ and k is an integer. {{#ifexpr: {{{1\|}}} > 1\|To the [[{{#expr: {{{1\|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence \| get_term
	\| odd_limit_diff		\| odd_limit_diff
	\| {{#expr: ({{{1\|}}} + 1) / 2}}		\| {{#expr: ({{{1\|}}} + 1) / 2}}
	}} interval ~~pair~~{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}		}} pairs of [[octavew-reduced]] interval{{#ifexpr: {{{1\|}}} > 3\|s\|}} involving {{{1\|}}}.\|}}

	Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>		Below is a list of all [[octave-reduced]] intervals in the {{{1\|}}}-odd-limit.</includeonly><noinclude>