On Fri, 8 Dec 2006, Hanno wrote: > musical tunings > --------------- > german: Musikalische Stimmungen > > I collected some of the most used tunings in the western music and added some > of the (on western key instruments) playable world tunings to that. I hope I > did not put anywhere wrong numbers in. Such errors would be hard to find. > You'll find most of this tunings in german and english wikipedia and from > there you have to follow some of the links to gether those informations. > > Hope you can use the table-form I did chose. If you miss some important, just > tell me.
thanks, it's (thanks to your assistance on IRC) in SVN now. please review the tooltips that i had to cook up for the different tunings: bsecore.idl: + /* musical tunings: http://en.wikipedia.org/wiki/Musical_tuning */ + choice MusicalTuningType { + /* Equal Temperament: http://en.wikipedia.org/wiki/Equal_temperament */ + MUSICAL_TUNING_12_TET = (1, _("12 Tone Equal Temperament"), // http://en.wikipedia.org/wiki/Equal_temperament + _("The most common tuning system for modern Western music, " + "is the twelve-tone equal temperament, abbreviated as 12-TET, " + "which divides the octave into 12 equal parts.")), + MUSICAL_TUNING_7_TET = (_("7 Tone Equal Temperament"), // http://en.wikipedia.org/wiki/Equal_temperament + _("A fairly common tuning system is the seven-tone equal temperament tuning system, " + "abbreviated as 7-TET. It divides the octave into 7 equal parts using 171 cent steps.")), + MUSICAL_TUNING_5_TET = (_("5 Tone Equal Temperament"), // http://en.wikipedia.org/wiki/Equal_temperament + _("A fairly common tuning system is the five-tone equal temperament tuning system, " + "abbreviated as 5-TET. It divides the octave into 5 equal parts using 240 cent steps.")), + /* Rational Intonation: http://en.wikipedia.org/wiki/Just_intonation */ + MUSICAL_TUNING_DIATONIC_SCALE = (_("Diatonic Scale"), // http://en.wikipedia.org/wiki/Diatonic_scale + _("In music theory, a diatonic scale (also: heptatonia prima) is a seven-note " + "musical scale comprising five whole-tone and two half-tone steps. " + "The half tones are maximally separated, so between two half-tone steps " + "there are either two or three whole tones, repeating per octave.")), // Werckmeister I + MUSICAL_TUNING_INDIAN_SCALE = (_("Indian Scale"), // http://en.wikipedia.org/wiki/Just_intonation#Indian_scales + _("Diatonic scale used in Indian music with wolf interval at Dha, close to 3/2")), + MUSICAL_TUNING_PYTHAGOREAN_TUNING = (_("Pythagorean Tuning"), // http://en.wikipedia.org/wiki/Pythagorean_tuning + _("Pythagorean tuning is the oldest way of tuning the 12-note chromatic scale, " + "in which the frequency relationships of all intervals are based on the ratio 3:2. " + "Its discovery is generally credited to Pythagoras.")), + MUSICAL_TUNING_PENTATONIC_5_LIMIT = (_("Pentatonic 5-limit"), // http://en.wikipedia.org/wiki/Pentatonic_scale + _("Pentatonic scales are used in modern jazz and pop/rock contexts " + "because they work exceedingly well over several chords diatonic " + "to the same key, often better than the parent scale.")), + MUSICAL_TUNING_PENTATONIC_BLUES = (_("Pentatonic Blues"), // http://en.wikipedia.org/wiki/Pentatonic_scale + _("The blues scale is the minor pentatonic with an additional augmented fourth, " + "which is referred to as the \"blues note\".")), + MUSICAL_TUNING_PENTATONIC_GOGO = (_("Pentatonic Gogo"), // http://en.wikipedia.org/wiki/Pentatonic_scale + _("The Pentatonic Gogo scale is an anhemitonic pentatonic scale used to tune the " + "instruments of the Gogo people of Tanzania.")), + /* Meantone Temperament: http://en.wikipedia.org/wiki/Meantone_temperament */ + MUSICAL_TUNING_QUARTER_COMMA_MEANTONE = (_("Quarter-Comma Meantone"), // http://en.wikipedia.org/wiki/Quarter-comma_meantone + _("Quarter-comma meantone was the most common meantone temperament in the " + "sixteenth and seventeenth centuries and sometimes used later.")), // Werckmeister II + MUSICAL_TUNING_SILBERMANN_SORGE = (_("Silbermann-Sorge Temperament"), // http://de.wikipedia.org/wiki/Silbermann-Sorge-Temperatur + _("The Silbermann-Sorge temperament is a meantone temperament used for " + "Baroque era organs by Gottfried Silbermann.")), + /* Well Temperament: http://en.wikipedia.org/wiki/Well_temperament */ + MUSICAL_TUNING_WERCKMEISTER_3 = (_("Werckmeister III"), // http://en.wikipedia.org/wiki/Werckmeister_temperament + _("This tuning uses mostly pure (perfect) fifths, as in Pythagorean tuning, but each " + "of the fifths C-G, G-D, D-A and B-F# is made smaller, i.e. tempered by 1/4 comma. " + "Werckmeister designated this tuning as particularly suited for playing chromatic music.")), + MUSICAL_TUNING_WERCKMEISTER_4 = (_("Werckmeister IV"), // http://en.wikipedia.org/wiki/Werckmeister_temperament + _("In this tuning the fifths C-G, D-A, E-B, F#-C#, and Bb-F are tempered narrow by 1/3 comma, " + "and the fifths G#-D# and Eb-Bb are widened by 1/3 comma. The other fifths are pure. " + "Most of its intervals are close to sixth-comma meantone. " + "Werckmeister designed this tuning for playing mainly diatonic music.")), + MUSICAL_TUNING_WERCKMEISTER_5 = (_("Werckmeister V"), // http://en.wikipedia.org/wiki/Werckmeister_temperament + _("In this tuning the fifths D-A, A-E, F#-C#, C#-G#, and F-C are narrowed by 1/4 comma, " + "and the fifth G#-D# is widened by 1/4 comma. The other fifths are pure. " + "This temperament is closer to equal temperament than Werckmeister III or IV.")), + MUSICAL_TUNING_WERCKMEISTER_6 = (_("Werckmeister VI"), // http://en.wikipedia.org/wiki/Werckmeister_temperament + _("This tuning is also known as Septenarius tuning is based on a division of the monochord " + "length into 196 = 7 * 7 * 4 parts. " + "The resulting scale has rational frequency relationships, but in practice involves pure " + "and impure sounding fifths. " + "Werckmeister described the Septenarius as a \"temperament which has nothing at all to do " + "with the divisions of the comma, nevertheless in practice so correct that one can be really " + "satisfied with it\".")), + MUSICAL_TUNING_KIRNBERGER_3 = (_("Kirnberger III"), // http://en.wikipedia.org/wiki/Johann_Philipp_Kirnberger_temperament + _("Kirnberger's method of compensating for and closing the circle of fifths is to split the \"wolf\" " + "interval known to those who have used meantone temperaments between four fifths instead, " + "allowing for four 1/4-comma wolves to take their place. " + "1/4-comma wolves are used extensively in meantone and are much easier to tune and to listen to. " + "Therefore, only one third remains pure (between C and E).")), + MUSICAL_TUNING_YOUNG = (_("Young Temperament"), // http://en.wikipedia.org/wiki/Young_temperament + _("Thomas Young devised a form of musical tuning to make the harmony most perfect in those keys which " + "are the most frequently used (give better major thirds in those keys), but to not have any unplayable keys. " + "This is attempted by tuning upwards from C a sequence of six pure fourths, " + "as well as six equally imperfect fifths.")), + }; bsesong.c: + bse_object_class_add_param (object_class, _("Tuning"), + PROP_MUSICAL_TUNING, + bse_param_spec_enum ("musical_tuning", _("Musical Tuning"), + _("The tuning system which specifies the tones or pitches to be used. " + "Due to the psychoacoustic properties of tones, various pitch combinations can " + "sound \"natural\" or \"pleasing\" when used in combination, the musical " + "tuning system defines the number and spacing of frequency values applied."), + BSE_MUSICAL_TUNING_EQUAL_TEMPERAMENT, BSE_TYPE_MUSICAL_TUNING_TYPE, + SFI_PARAM_STANDARD ":unprepared:skip-default")); below, i'll adress changes in SVN from your email for the record. > > Hanno > 3a-4) Werckmeister IV > http://www.groenewald-berlin.de/text/text_T017.html > > interval[12]={ > 1, > 16384*2^(1/3)/19683, > 8*2^(1/3)/9, > 32/27, > 64*4^(1/3)/81, > 4/3, > 1024/729, > 32*2^(1/3)/27, > 8192*2^(1/3)/6561, > 256*4^(1/3)/243, > 9/4*2^(1/3), wikipedia and text_T017.html are wrong on this one, it's: 9 / 8.0 * 4 ^ (1 / 3). > 4096/2187 > }; > > 3a-5) Werckmeister V > http://www.groenewald-berlin.de/text/text_T018.html > > interval[12]={ > 1, > 8*2^.25/9, > 9/8, > 2^.25, > 8*2^.5/9, text_T018.html is wrong here, wikipedia get's it right: 3 / 2.0 > 9/4*8^.25, > 2^.5, > 3/2, > 128/81, > 8^.25, > 3/8^.25, > 4*2^.5/3 > }; > > 3a-6) Werckmeister VI > http://www.groenewald-berlin.de/text/text_T019.html > > interval[12]={ > 1, > 256/243, > 1024*16^(1/7)/(792*81^(1/7)), > 4*4^(1/7)/(3*3^(1/7)), > 16*64^(1/7)/(9*729^(1/7)), > 4/3, > 16*16^(1/7)/(9*81^(1/7)), > 2*2^(1/7)/3^(1/7), > 128/81, > 64*64^(1/7)/(27*729^(1/7)), > 2*4^(1/7)/9^(1/7), > 8*64^(1/7)/(3*729^(1/7)) the wikipedia formulas are pretty different here in using shorter fractions. i did pick the wikipedia version. the tables are still similar within 2 decimal digits though. > }; > 3b-1) Kirnberger II > http://groenewald-berlin.de/text/text_T023.html > > interval[12]={ > 1, > 256/243, > 9/8, > 32/27, > 5/4, > 4/3, > 45/32, > 3/2, > 128/81, > 3*5^.5/4, > 16/9, > 15/8 > }; we have Kirnberger III in SVN now, but i didn't pick Kirnberger II, because aparently (according to wikipedia) Kirnberger himself didn't like II after a while which is why he devised III. > 3b-2) Kirnberger III > http://groenewald-berlin.de/text/text_T032.html [...] --- ciaoTJ _______________________________________________ beast mailing list [email protected] http://mail.gnome.org/mailman/listinfo/beast
