Levels of tempering - Revision history

Inthar at 05:10, 31 August 2026

2026-08-31T05:10:41Z

← Older revision		Revision as of 05:10, 31 August 2026
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	The proposal by [[User:Ground]] for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament:		The proposal by [[User:Ground]] for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament:
	# '''D: Direct'''. All ratios are exactly as described within practical levels of precision. This category contains both those who use JI tunings and those who may ignore JI and interpret every interval as only its exact definition.		# '''D: Direct'''. All ratios are exactly as described within practical levels of precision. This category contains both those who use JI tunings and those who may ignore JI and interpret every interval as only its exact definition.
	# '''UT: Microtemp''' (based on the SI prefix μ often written as u). Levels of precision are similar to Direct, but allow for the introduction of tempering. People in this category may use large high-accuracy edos to approximate JI, and refer to degrees of the edo based on which JI ratios they map to.		# '''MCT: Microtemp''' (based on the SI prefix μ often written as mc in pharmaceutical contexts). Levels of precision are similar to Direct, but allow for the introduction of tempering. People in this category may use large high-accuracy edos to approximate JI, and refer to degrees of the edo based on which JI ratios they map to.
	# '''ST: Mesotemp''' (also evokes "standard tempered"). This is the most common category in RTT and interpretations of the most common edos. Intervals may be equated even if they are audibly different as long as they share a concordance well or position in the lattice. This is the point where [[Straddle primes\|straddling]] becomes practical.		# '''ST: Mesotemp''' (also evokes "standard tempered"). This is the most common category in RTT and interpretations of the most common edos. Intervals may be equated even if they are audibly different as long as they share a concordance well or position in the lattice. This is the point where [[Straddle primes\|straddling]] becomes practical.
	# '''XT: Exotemp'''. Intervals don't need to sound similar to be equated.		# '''XT: Exotemp'''. Intervals don't need to sound similar to be equated.

Ground at 02:26, 31 August 2026

2026-08-31T02:26:33Z

← Older revision		Revision as of 02:26, 31 August 2026
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	{{proposed}}		{{proposed}}

	'''Levels of tempering''' is a system of categorizing musicians based on ~~how they interpret different intervals~~. It is intended ~~to allow people~~ to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying ~~the base assumptions that allow~~ answers to be different.		'''Levels of tempering''' is a system of categorizing how different musicians equate intervals, which appears to be based on unchangeable assumptions. This is intended to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying what allows answers to be so different.

	The proposal by [[User:Ground]] for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament:		The proposal by [[User:Ground]] for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament:
	# '''D: Direct'''. All ratios are exactly as described within practical levels of precision. This category contains both those who use JI tunings and those who may ignore JI and interpret every interval as only its exact definition.		# '''D: Direct'''. All ratios are exactly as described within practical levels of precision. This category contains both those who use JI tunings and those who may ignore JI and interpret every interval as only its exact definition.
	# '''UT: Microtemp''' (based on the SI prefix μ often written as u). Levels of precision are similar to Direct, but allow for the introduction of tempering. People in this category may use large high-accuracy edos to approximate JI, and refer to degrees of the edo based on which JI ratios they map to.		# '''UT: Microtemp''' (based on the SI prefix μ often written as u). Levels of precision are similar to Direct, but allow for the introduction of tempering. People in this category may use large high-accuracy edos to approximate JI, and refer to degrees of the edo based on which JI ratios they map to.
	# '''ST: Mesotemp''' (also evokes "standard tempered"). This is the most common category in RTT and interpretations of the most common edos. Intervals may be equated even if they are audibly different as long as they share a concordance well or position in the lattice.		# '''ST: Mesotemp''' (also evokes "standard tempered"). This is the most common category in RTT and interpretations of the most common edos. Intervals may be equated even if they are audibly different as long as they share a concordance well or position in the lattice. This is the point where [[Straddle primes\|straddling]] becomes practical.
	# '''XT: Exotemp'''. Intervals don't need to sound similar to be equated.		# '''XT: Exotemp'''. Intervals don't need to sound similar to be equated.

Ground: Created page with "{{proposed}} '''Levels of tempering''' is a system of categorizing musicians based on how they interpret different intervals. It is intended to allow people to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying the base assumptions that allow answers to be different. The proposal by User:Ground for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament: # '''D: Direct'''. All rati..."

2026-08-31T01:36:04Z

Created page with "{{proposed}} '''Levels of tempering''' is a system of categorizing musicians based on how they interpret different intervals. It is intended to allow people to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying the base assumptions that allow answers to be different. The proposal by User:Ground for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament: # '''D: Direct'''. All rati..."

New page

{{proposed}}

'''Levels of tempering''' is a system of categorizing musicians based on how they interpret different intervals. It is intended to allow people to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying the base assumptions that allow answers to be different.

The proposal by [[User:Ground]] for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament:
# '''D: Direct'''. All ratios are exactly as described within practical levels of precision. This category contains both those who use JI tunings and those who may ignore JI and interpret every interval as only its exact definition.
# '''UT: Microtemp''' (based on the SI prefix μ often written as u). Levels of precision are similar to Direct, but allow for the introduction of tempering. People in this category may use large high-accuracy edos to approximate JI, and refer to degrees of the edo based on which JI ratios they map to.
# '''ST: Mesotemp''' (also evokes "standard tempered"). This is the most common category in RTT and interpretations of the most common edos. Intervals may be equated even if they are audibly different as long as they share a concordance well or position in the lattice.
# '''XT: Exotemp'''. Intervals don't need to sound similar to be equated.