Semi-log plot - Revision history

en>Scott Sinnock: /* Equations */ Variables in the equations and text are not defined anywhere in this entry.

2014-12-04T20:46:55Z

Equations: Variables in the equations and text are not defined anywhere in this entry.

← Older revision		Revision as of 22:46, 4 December 2014
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	~~'''MIDI Tuning Standard (MTS)'''~~ is ~~a specification of precise [[musical pitch]] agreed~~ to ~~by the [[MIDI Manufacturers Association]] in the [[MIDI]] protocol. MTS allows for both a bulk tuning dump message, giving a tuning for each of 128 [[notes]],~~ and ~~a tuning message for individual notes as they are played.~~		Oscar is what my spouse enjoys to contact me and I totally dig that name. Her family life in Minnesota. My working day occupation is a meter reader. Doing ceramics is what her family members and her enjoy.<br><br>Stop by my blog ... [http://xrambo.com/user/RKDBG http://xrambo.com/user/RKDBG]

	~~==Frequency values==~~
	~~If ''ƒ'' is a [[frequency]], then the corresponding frequency data value ''d'' may be computed by~~

	~~:<math>d = 69 + 12 \log_2 \left(\frac {f}{440\ \mathrm{Hz}}\right).\,</math>~~

	~~The quantity log<sub>2</sub> (''&fnof;'' / 440 Hz) is the number of [[octaves]] above the 440-Hz [[concert A]] (it is negative if the frequency is below~~ that ~~pitch)~~. ~~Multiplying it by 12 gives the number of [[semitones]] above that frequency. Adding 69 gives the number of semitones above the C five octaves below [[middle C]].~~

	Since 440 [[hertz\|Hz]] is a widely used standard concert A (e.g. USA, UK), and since that is represented in MIDI terms by the integer 69 (nine semitones above middle C, which is 60), this gives a real number which expresses pitch in ~~a manner consistent with MIDI and [[integer notation]], known as the midi note number~~.

	~~Converting from midi note number (d) to frequency (f)~~ is ~~given by the following formula:~~

	~~:<math>f = 2^{(d-69)/12} \cdot 440\ \mathrm{Hz} \, </math>~~

	~~==Frequency Data Format==~~
	~~The frequency data format allows for the precise notation of frequencies that differ from [[equal temperament]].~~


	"Frequency data shall be defined in [units] which are fractions of a semitone. The frequency range starts at MIDI note 0, C = 8.1758 Hz, and extends above MIDI note 127, G = 12543.875 Hz. The first byte of the frequency data word specifies the highest equal-tempered semitone not exceeding the frequency. The next two bytes (14 bits) specify the fraction of 100 cents above the semitone at which the frequency lies. Effective resolution = 100 cents / 2<sup>14</sup> = .0061 cents."<ref name="refname1" />

	~~This higher resolution allows~~ a ~~logarithmic representation of pitch in which the semitone is divided into 128<sup>2</sup> = 2<sup>14</sup> = 16384 parts, which means the octave is divided into 196608 (logarithmically) equal parts~~. ~~These parts are exactly 100/16384 cents (approximately 0.0061 cents) in size, which~~ is ~~far below the threshold of [[hearing range \| human pitch perception]]~~ and ~~which therefore allows a very accurate representation of pitch.~~

	~~==Applications==~~
	~~The precision pitch values may be used in [[microtonal music]], [[just intonation]], [[meantone temperament]], or other alternative tunings~~. Software which supports MTS includes [[Scala (program)\|Scala]], [[TiMidity++]], [[alt-tuner]], [[L'il Miss Scale Oven]], [[Tune Smithy]], [[Max Magic Microtuner]], [[Gervill]]. Software plugin instruments which support MTS include [[Native Instruments]] [[FM8]], Synthogy Ivory, and Xen-Arts' various xenharmonic VSTi plugins, including the FMTS FM synthesizer, Ivor virtual analog synthesizer, and XenFont SoundFont sample player.

	~~==References==~~
	~~{{Reflist\|refs=~~
	<~~ref name="refname1"~~>~~Midi Manufacturers Association, Midi Tuning Specification ( http://www.midi.org/techspecs/midituning.php )~~<~~/ref~~>
	}}

	~~==See also==~~
	*[[Microtonal music]]
	*[[Microtuner]]
	*[[Musical tuning]]

	~~==External links==~~
	~~===MTS specification===~~
	* [http://www.midi.org/about-midi/tuning.shtml MTS specification]
	* [http://www.midi.org/about-midi/specinfo.shtml Detailed MTS specification]
	* [http://www.midi.org/about-midi/tuning_extens.~~shtml MTS extensions]~~

	~~===Microtonal music software supporting MTS===~~
	* [http://www.~~huygens-fokker~~.~~org/scala/ Scala (Windows, Linux, Mac)]~~
	* [http://~~www.tallkite~~.com/~~alt-tuner.html alt-tuner (Windows, Linux, Mac)]~~
	* [http://timidity.sourceforge.net/ TiMidity++ (Windows, Linux, Mac)]
	* [http://www.robertinventor.com/software/tunesmithy/music.htm Tune Smithy (Windows)]
	* [http://~~www.xen-arts.com/ Xen-Arts Microtonal MIDI Software (Windows VSTi)]~~

	~~===Inactive links===~~
	* [http://~~www.nonoctave~~.com/~~tuning/LilMissScaleOven~~/ ~~L'il Miss' Scale Oven (Mac)]~~
	* [https://gervill.dev.java.net/ Gervill (Windows, Linux, Mac)]

	~~[[Category:Computer file formats]]~~
	~~[[Category:Electronic music]]~~
	~~[[Category:MIDI standards]]~~
	~~[[Category:MIDI]]~~
	~~[[Category:Music notation file formats]]~~
	~~[[Category:Musical tuning]~~]

en>Roberticus: Reverted 1 good faith edit by 98.122.97.84 using STiki unsourced

2013-10-08T22:32:30Z

Reverted 1 good faith edit by 98.122.97.84 using STiki unsourced

← Older revision		Revision as of 00:32, 9 October 2013
Line 1:		Line 1:
	The ~~writer~~ is ~~recognized~~ by the ~~name~~ of ~~Numbers Lint~~. ~~Bookkeeping~~ is ~~her working day occupation now~~. ~~North Dakota~~ is ~~our birth location~~. The ~~preferred pastime~~ for ~~my kids~~ and me is ~~to play baseball but I haven~~'~~t produced a dime with it~~.<br><br>~~Look into my weblog~~ - ~~at home std testing (~~[http://www.~~alemcheap~~.fi/~~show~~/~~the~~-~~way~~-to-~~cure~~-an-~~unpleasant~~-~~candidiasis visit the up coming document~~])		'''MIDI Tuning Standard (MTS)''' is a specification of precise [[musical pitch]] agreed to by the [[MIDI Manufacturers Association]] in the [[MIDI]] protocol. MTS allows for both a bulk tuning dump message, giving a tuning for each of 128 [[notes]], and a tuning message for individual notes as they are played.

			==Frequency values==
			If ''ƒ'' is a [[frequency]], then the corresponding frequency data value ''d'' may be computed by

			:<math>d = 69 + 12 \log_2 \left(\frac {f}{440\ \mathrm{Hz}}\right).\,</math>

			The quantity log<sub>2</sub> (''&fnof;'' / 440 Hz) is the number of [[octaves]] above the 440-Hz [[concert A]] (it is negative if the frequency is below that pitch). Multiplying it by 12 gives the number of [[semitones]] above that frequency. Adding 69 gives the number of semitones above the C five octaves below [[middle C]].

			Since 440 [[hertz\|Hz]] is a widely used standard concert A (e.g. USA, UK), and since that is represented in MIDI terms by the integer 69 (nine semitones above middle C, which is 60), this gives a real number which expresses pitch in a manner consistent with MIDI and [[integer notation]], known as the midi note number.

			Converting from midi note number (d) to frequency (f) is given by the following formula:

			:<math>f = 2^{(d-69)/12} \cdot 440\ \mathrm{Hz} \, </math>

			==Frequency Data Format==
			The frequency data format allows for the precise notation of frequencies that differ from [[equal temperament]].


			"Frequency data shall be defined in [units] which are fractions of a semitone. The frequency range starts at MIDI note 0, C = 8.1758 Hz, and extends above MIDI note 127, G = 12543.875 Hz. The first byte of the frequency data word specifies the highest equal-tempered semitone not exceeding the frequency. The next two bytes (14 bits) specify the fraction of 100 cents above the semitone at which the frequency lies. Effective resolution = 100 cents / 2<sup>14</sup> = .0061 cents."<ref name="refname1" />

			This higher resolution allows a logarithmic representation of pitch in which the semitone is divided into 128<sup>2</sup> = 2<sup>14</sup> = 16384 parts, which means the octave is divided into 196608 (logarithmically) equal parts. These parts are exactly 100/16384 cents (approximately 0.0061 cents) in size, which is far below the threshold of [[hearing range \| human pitch perception]] and which therefore allows a very accurate representation of pitch.

			==Applications==
			The precision pitch values may be used in [[microtonal music]], [[just intonation]], [[meantone temperament]], or other alternative tunings. Software which supports MTS includes [[Scala (program)\|Scala]], [[TiMidity++]], [[alt-tuner]], [[L'il Miss Scale Oven]], [[Tune Smithy]], [[Max Magic Microtuner]], [[Gervill]]. Software plugin instruments which support MTS include [[Native Instruments]] [[FM8]], Synthogy Ivory, and Xen-Arts' various xenharmonic VSTi plugins, including the FMTS FM synthesizer, Ivor virtual analog synthesizer, and XenFont SoundFont sample player.

			==References==
			{{Reflist\|refs=
			<ref name="refname1">Midi Manufacturers Association, Midi Tuning Specification ( http://www.midi.org/techspecs/midituning.php )</ref>
			}}

			==See also==
			*[[Microtonal music]]
			*[[Microtuner]]
			*[[Musical tuning]]

			==External links==
			===MTS specification===
			* [http://www.midi.org/about-midi/tuning.shtml MTS specification]
			* [http://www.midi.org/about-midi/specinfo.shtml Detailed MTS specification]
			* [http://www.midi.org/about-midi/tuning_extens.shtml MTS extensions]

			===Microtonal music software supporting MTS===
			* [http://www.huygens-fokker.org/scala/ Scala (Windows, Linux, Mac)]
			* [http://www.tallkite.com/alt-tuner.html alt-tuner (Windows, Linux, Mac)]
			* [http://timidity.sourceforge.net/ TiMidity++ (Windows, Linux, Mac)]
			* [http://www.robertinventor.com/software/tunesmithy/music.htm Tune Smithy (Windows)]
			* [http://www.xen-arts.com/ Xen-Arts Microtonal MIDI Software (Windows VSTi)]

			===Inactive links===
			* [http://www.nonoctave.com/tuning/LilMissScaleOven/ L'il Miss' Scale Oven (Mac)]
			* [https://gervill.dev.java.net/ Gervill (Windows, Linux, Mac)]

			[[Category:Computer file formats]]
			[[Category:Electronic music]]
			[[Category:MIDI standards]]
			[[Category:MIDI]]
			[[Category:Music notation file formats]]
			[[Category:Musical tuning]]

en>Schapel: this page is no longer a stub

2012-01-02T00:27:34Z

this page is no longer a stub

New page

The writer is recognized by the name of Numbers Lint. Bookkeeping is her working day occupation now. North Dakota is our birth location. The preferred pastime for my kids and me is to play baseball but I haven't produced a dime with it.<br><br>Look into my weblog - at home std testing ([http://www.alemcheap.fi/show/the-way-to-cure-an-unpleasant-candidiasis visit the up coming document])