User talk:Contribution - Revision history

Overthink: /* Recent edits to EDx pages */ format heading

2025-12-06T18:21:26Z

Recent edits to EDx pages: format heading

← Older revision		Revision as of 18:21, 6 December 2025
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	The template you created calls an inexistent module. If this template is work in progress, please add <code><nowiki>[[Category:Draft templates]]</nowiki></code> and don't use it in other pages until its basic functionality is complete. Thank you in advance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 13:19, 28 March 2024 (UTC)		The template you created calls an inexistent module. If this template is work in progress, please add <code><nowiki>[[Category:Draft templates]]</nowiki></code> and don't use it in other pages until its basic functionality is complete. Thank you in advance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 13:19, 28 March 2024 (UTC)

	= Recent edits to EDx pages =		== Recent edits to EDx pages ==

	Hello! May I know where you get your numbers from? For instance, you have written in the Ed11/9 page that:		Hello! May I know where you get your numbers from? For instance, you have written in the Ed11/9 page that:

FloraC at 08:51, 9 November 2025

2025-11-09T08:51:11Z

← Older revision		Revision as of 08:51, 9 November 2025
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	print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)		print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)
	</pre>		</pre>

			== Please stop stuffing the site with enormous machine-generated tables that no one asks for ==
			Consider this a formal warning. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:51, 9 November 2025 (UTC)

Contribution at 15:22, 28 August 2024

2024-08-28T15:22:32Z

← Older revision		Revision as of 15:22, 28 August 2024
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	print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)		print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)
	</pre>		</pre>

	{{todo\|Generalize\|inline=1\|comment=For example, within ed15/8, pair of superparticulars 5/4 and 3/2 are 15/8 complementary. Within ed21/16, pair of superparticulars 9/8 and 7/6 are 21/16 complementary.
	~~Update the code so that it works for any X ratio of EDX without restriction.}}~~

Contribution: /* Recent edits to EDx pages */

2024-08-28T15:05:06Z

Recent edits to EDx pages

← Older revision		Revision as of 15:05, 28 August 2024
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	<pre>		<pre>
	# Enter the values for the X ratio of EDX. Ensure the numerator and denominator differ by 1 or 2.		# Enter the values for the X ratio of EDX. Ensure the numerator and denominator differ by 1 or 2.
	numerator, denominator = 7, 6		numerator, denominator = 3, 2

	# Program		# Program

Contribution at 15:04, 28 August 2024

2024-08-28T15:04:23Z

← Older revision		Revision as of 15:04, 28 August 2024
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	(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)		(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)

	print(f"Successive superparticular complementary pair of {numerator}/{denominator} ~~are~~: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")		print(f"Successive superparticular complementary pair of {numerator}/{denominator}: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")

	# Calculate ratios		# Calculate ratios

Contribution: /* Recent edits to EDx pages */

2024-08-28T15:00:27Z

Recent edits to EDx pages

← Older revision		Revision as of 15:00, 28 August 2024
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	(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)		(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)

	print(f"~~Superparticular~~ complementary pair of {numerator}/{denominator} are: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")		print(f"Successive superparticular complementary pair of {numerator}/{denominator} are: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")

	# Calculate ratios		# Calculate ratios

Contribution at 12:58, 28 August 2024

2024-08-28T12:58:36Z

← Older revision		Revision as of 12:58, 28 August 2024
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	print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)		print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)
	</pre>		</pre>

			{{todo\|Generalize\|inline=1\|comment=For example, within ed15/8, pair of superparticulars 5/4 and 3/2 are 15/8 complementary. Within ed21/16, pair of superparticulars 9/8 and 7/6 are 21/16 complementary.
			Update the code so that it works for any X ratio of EDX without restriction.}}

Contribution: /* Recent edits to EDx pages */

2024-08-28T12:28:22Z

Recent edits to EDx pages

← Older revision		Revision as of 12:28, 28 August 2024
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	def calculate_complementary_pair(numerator, denominator):		def calculate_complementary_pair(numerator, denominator):
	"""		"""
	Calculates the ~~perfect~~ complementary pair based on the difference		Calculates the superparticular complementary pair based on the difference
	between the numerator and denominator.		between the numerator and denominator.
	"""		"""
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	return 1200 * log(ratio) / log(2)		return 1200 * log(ratio) / log(2)

	def print_mappings(ratio_log, ~~perfect_log~~, numerator, denominator):		def print_mappings(ratio_log, superparticular_log, numerator, denominator):
	"""		"""
	Prints the mapping of ratios and their differences in logarithmic cents.		Prints the mapping of ratios and their differences in logarithmic cents.
	"""		"""
	for ed in range(1, 101):		for ed in range(1, 101):
	mapping = int(~~perfect_log~~ / (ratio_log / ed) + 0.5) # Rounds to the nearest integer		mapping = int(superparticular_log / (ratio_log / ed) + 0.5) # Rounds to the nearest integer
	error = mapping * (ratio_log / ed) - ~~perfect_log~~		error = mapping * (ratio_log / ed) - superparticular_log
	print(f"scale: {ed}ed{numerator}/{denominator}, error: {error:.5f}")		print(f"scale: {ed}ed{numerator}/{denominator}, error: {error:.5f}")

	# Calculate the ~~perfect~~ complementary pairs		# Calculate the superparticular complementary pairs
	(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)		(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)

	print(f"~~Perfect~~ complementary pair of {numerator}/{denominator} are: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")		print(f"Superparticular complementary pair of {numerator}/{denominator} are: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")

	# Calculate ratios		# Calculate ratios
	ratio = numerator / denominator		ratio = numerator / denominator
	~~perfect_complementary_ratio~~ = pair_1[0] / pair_1[1]		superparticular_complementary_ratio = pair_1[0] / pair_1[1]

	# Calculate the logarithmic values for the ratios in cents		# Calculate the logarithmic values for the ratios in cents
	ratio_log_cents = calculate_log_ratio(ratio)		ratio_log_cents = calculate_log_ratio(ratio)
	~~perfect_complementary_log_cents~~ = calculate_log_ratio(~~perfect_complementary_ratio~~)		superparticular_complementary_log_cents = calculate_log_ratio(superparticular_complementary_ratio)

	# Output the mappings		# Output the mappings
	print_mappings(ratio_log_cents, ~~perfect_complementary_log_cents~~, numerator, denominator)		print_mappings(ratio_log_cents, superparticular_complementary_log_cents, numerator, denominator)
	</pre>		</pre>

Contribution at 11:08, 28 August 2024

2024-08-28T11:08:56Z

← Older revision		Revision as of 11:08, 28 August 2024
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	May we know how you arrive at these values? I feel that without any context or explanation people are going to have a hard time understanding why you are editing these pages. Thank you! [[User:2^67-1\|2^67-1]] 05:50, 28 August 2024 (UTC)		May we know how you arrive at these values? I feel that without any context or explanation people are going to have a hard time understanding why you are editing these pages. Thank you! [[User:2^67-1\|2^67-1]] 05:50, 28 August 2024 (UTC)

			: Hi. For each pair of superparticular ratios <math>{s1}/{s2}</math> and <math>{s2}/{s3}</math>, there exists a ratio <math>{a}/{b}</math> such that <math>{s1}/{s2}</math> and <math>{s2}/{s3}</math> are <math>{a}/{b}</math> complementary; it is observed that <math>a−b=1</math> or <math>a−b=2</math>.
			: In other words, for each ratio <math>a/b</math> where <math>a−b=1</math> or <math>a−b=2</math>, there exists a pair of superparticular ratios <math>{s1}/{s2}</math> and <math>{s2}/{s3}</math> that are <math>{a}/{b}</math> complementary.

			: Bellow is a Python code that show for equal divisions of <math>a/b</math> the cent error in the mapping of superparticular ratios <math>{s1}/{s2}</math> and <math>{s2}/{s3}</math> that are <math>a/b</math> complementary.
			: When running the tests sequentially for equal divisions of 2/1, 5/3, 3/2, 7/5, 4/3, 9/7, 5/4, 11/9, 6/5, and so on, we observe a converging sequence and pattern for low errors: 5, 7, 12; then 7, 9, 16; then 9, 11, 20; then 11, 13, 24; then 13, 15, 28; then 15, 17, 32; then 17, 19, 36; then 19, 21, 40; then 21, 23, 44; etc. --[[User:Contribution\|Contribution]] ([[User talk:Contribution\|talk]]) 11:08, 28 August 2024 (UTC)

			<pre>
			# Enter the values for the X ratio of EDX. Ensure the numerator and denominator differ by 1 or 2.
			numerator, denominator = 7, 6

			# Program
			from math import log

			def calculate_complementary_pair(numerator, denominator):
			"""
			Calculates the perfect complementary pair based on the difference
			between the numerator and denominator.
			"""
			diff = numerator - denominator

			if diff == 1:
			# Case where numerator and denominator differ by 1
			numerator_2 = numerator * 2
			denominator_2 = numerator + denominator
			numerator_3 = numerator + denominator
			denominator_3 = denominator * 2
			elif diff == 2:
			# Case where numerator and denominator differ by 2
			numerator_2 = numerator
			denominator_2 = int((numerator + denominator) / 2)
			numerator_3 = int((numerator + denominator) / 2)
			denominator_3 = denominator
			else:
			raise ValueError("Invalid input: numerator and denominator must differ by 1 or 2.")

			return (numerator_2, denominator_2), (numerator_3, denominator_3)

			def calculate_log_ratio(ratio):
			"""
			Calculates the logarithmic value of a ratio in cents.
			"""
			return 1200 * log(ratio) / log(2)

			def print_mappings(ratio_log, perfect_log, numerator, denominator):
			"""
			Prints the mapping of ratios and their differences in logarithmic cents.
			"""
			for ed in range(1, 101):
			mapping = int(perfect_log / (ratio_log / ed) + 0.5) # Rounds to the nearest integer
			error = mapping * (ratio_log / ed) - perfect_log
			print(f"scale: {ed}ed{numerator}/{denominator}, error: {error:.5f}")

			# Calculate the perfect complementary pairs
			(pair_1, pair_2) = calculate_complementary_pair(numerator, denominator)

			print(f"Perfect complementary pair of {numerator}/{denominator} are: {pair_1[0]}/{pair_1[1]} and {pair_2[0]}/{pair_2[1]}")

			# Calculate ratios
			ratio = numerator / denominator
			perfect_complementary_ratio = pair_1[0] / pair_1[1]

			# Calculate the logarithmic values for the ratios in cents
			ratio_log_cents = calculate_log_ratio(ratio)
			perfect_complementary_log_cents = calculate_log_ratio(perfect_complementary_ratio)

			# Output the mappings
			print_mappings(ratio_log_cents, perfect_complementary_log_cents, numerator, denominator)
			</pre>

2^67-1 at 05:50, 28 August 2024

2024-08-28T05:50:48Z

← Older revision		Revision as of 05:50, 28 August 2024
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	== Template: Infobox ZPI ==		== Template: Infobox ZPI ==
	The template you created calls an inexistent module. If this template is work in progress, please add <code><nowiki>[[Category:Draft templates]]</nowiki></code> and don't use it in other pages until its basic functionality is complete. Thank you in advance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 13:19, 28 March 2024 (UTC)		The template you created calls an inexistent module. If this template is work in progress, please add <code><nowiki>[[Category:Draft templates]]</nowiki></code> and don't use it in other pages until its basic functionality is complete. Thank you in advance. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 13:19, 28 March 2024 (UTC)

			= Recent edits to EDx pages =

			Hello! May I know where you get your numbers from? For instance, you have written in the Ed11/9 page that:

			''[[19ed11/9]], [[21ed11/9]] and [[40ed11/9]] are to the [[Ed11/9\|division of 11/9]] what [[17ed5/4]], [[19ed5/4]], and [[36ed5/4]] are to the [[Ed5/4\|division of 5/4]]... <long text omitted>''

			May we know how you arrive at these values? I feel that without any context or explanation people are going to have a hard time understanding why you are editing these pages. Thank you! [[User:2^67-1\|2^67-1]] 05:50, 28 August 2024 (UTC)