Dodecatonic Fret Numbering: Difference between revisions
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'''Dodecatonic fret numbering''' ('''DFN''' for short) is a method of naming frets in tablature. Each fret is numbered to match the nearest 12edo fret. If multiple frets map to the same 12edo fret, they are differentiated with letters a, b, c, etc | '''Dodecatonic fret numbering''' ('''DFN''' for short) is a method of naming microtonal frets in tablature. Each fret is numbered to match the nearest 12edo fret. If multiple frets map to the same 12edo fret, they are differentiated with letters a, b, c, etc. | ||
== Applications == | == Applications == | ||
DFN tablature is designed for the professional guitarist who mainly plays 12edo guitar, but is sometimes hired to play microtonal music on a guitar | DFN tablature is primarily designed for the professional guitarist who mainly plays 12edo guitar, but is sometimes hired to play microtonal music on a borrowed guitar. They would generally prefer tablature over score. DFN tab would be much easier for them to read than tab with conventional fret numbering. Upon seeing e.g. "6a" or "7", their 12edo muscle memory will place them in the general vicinity of the proper fret. Markings (temporary or permanent) on the side of the guitar neck can group the frets into categories, making the tablature even easier to read. Possibly fretwire of two different colors could be used, to make the grouping even more obvious. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+19edo example | |+19edo example | ||
! | ! | ||
!0 | !0 | ||
!1 | !1 | ||
| Line 29: | Line 27: | ||
!19 | !19 | ||
|- | |- | ||
!cents | |||
| align="right" |0 | | align="right" |0 | ||
| align="right" |63 | | align="right" |63 | ||
| Line 51: | Line 49: | ||
| align="right" |1200 | | align="right" |1200 | ||
|- | |- | ||
!fret name | |||
| align="right" |0 | | align="right" |0 | ||
| align="right" |1a | | align="right" |1a | ||
| align="right" |1b | | align="right" |1b | ||
| align="right" |2 | | align="right" |2 | ||
| align="right" | | | align="right" |3a | ||
| align="right" | | | align="right" |3b | ||
| align="right" |4a | | align="right" |4a | ||
| align="right" |4b | | align="right" |4b | ||
| Line 66: | Line 64: | ||
| align="right" |8a | | align="right" |8a | ||
| align="right" |8b | | align="right" |8b | ||
| align="right" | | | align="right" |9a | ||
| align="right" | | | align="right" |9b | ||
| align="right" |10 | | align="right" |10 | ||
| align="right" |11a | | align="right" |11a | ||
| Line 73: | Line 71: | ||
| align="right" |12 | | align="right" |12 | ||
|- | |- | ||
!markings | |||
| align="right" | | | align="right" | | ||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | | colspan="2" align="right" |<nowiki>|_____|</nowiki> | ||
| colspan="2" align="right" |<nowiki>| | | align="right" | | ||
| colspan="2" align="right" |<nowiki>|____*|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | | colspan="2" align="right" |<nowiki>|_____|</nowiki> | ||
| align="right" |* | | align="right" |* | ||
| Line 86: | Line 84: | ||
| | | | ||
| colspan="2" align="right" |<nowiki>|______| </nowiki> | | colspan="2" align="right" |<nowiki>|______| </nowiki> | ||
| align="right" |* | | align="right" |* * | ||
|- | |- | ||
!fretwire | |||
| align="right" | | | align="right" | | ||
| colspan="2" align="right" |gold | | colspan="2" align="right" |gold | ||
| | | align="right" |silver | ||
| | | colspan="2" |gold | ||
| colspan="2" align="right" |silver | | colspan="2" align="right" |silver | ||
| align="right" |gold | | align="right" |gold | ||
| Line 105: | Line 103: | ||
DFN makes 24edo tablature easier to read, and even a guitarist who owns a 24edo guitar may prefer DFN tab. | DFN makes 24edo tablature easier to read, and even a guitarist who owns a 24edo guitar may prefer DFN tab. | ||
DFN applies to all frettings: edos, JI, etc. Fretlets can be named as if all fretlets extended across the entire fretboard. But that isn't necessary if the fretlets naturally group into full frets, as with True Temperament frets. | DFN applies to all frettings: edos, JI, etc. Fretlets can be named as if all the fretlets extended across the entire fretboard. But that isn't necessary if the fretlets naturally group into full frets, as with True Temperament frets. | ||
DFN has the advantage that adding or removing a single fret or fretlet won't affect the naming of most or all of the other frets. | DFN has the advantage that adding or removing a single fret or fretlet won't affect the naming of most or all of the other frets. | ||
== Various popular EDOs 15-24 == | == Various popular EDOs 15-24 == | ||
If a fret falls exactly midway between two 12edo frets (as in 16edo or 24edo), it's lettered as "h", short for halfway. It can be numbered either as the smaller option followed by "h", or as the larger option preceded by "h". Mnemonic: 2h means "two plus a half", and h3 means "halfway to three". The two options are chosen so that the fret numbering is symmetrical, in the sense that the upper half-octave is a mirror image of the lower half-octave. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+ | ||
| Line 201: | Line 200: | ||
|0 | |0 | ||
|1 | |1 | ||
| | |h2 | ||
|2 | |2 | ||
|3 | |3 | ||
| Line 209: | Line 208: | ||
|6 | |6 | ||
|7 | |7 | ||
| | |h8 | ||
|8 | |8 | ||
|9 | |9 | ||
| Line 245: | Line 244: | ||
|2 | |2 | ||
|3 | |3 | ||
| | |4a | ||
| | |4b | ||
|5 | |5 | ||
|6a | |6a | ||
|6b | |6b | ||
|7 | |7 | ||
| | |8a | ||
| | |8b | ||
|9 | |9 | ||
|10 | |10 | ||
| Line 288: | Line 287: | ||
| align="right" |1b | | align="right" |1b | ||
| align="right" |2 | | align="right" |2 | ||
| align="right" | | | align="right" |3a | ||
| align="right" | | | align="right" |3b | ||
| align="right" |4a | | align="right" |4a | ||
| align="right" |4b | | align="right" |4b | ||
| Line 298: | Line 297: | ||
| align="right" |8a | | align="right" |8a | ||
| align="right" |8b | | align="right" |8b | ||
| align="right" | | | align="right" |9a | ||
| align="right" | | | align="right" |9b | ||
| align="right" |10 | | align="right" |10 | ||
| align="right" |11a | | align="right" |11a | ||
| Line 333: | Line 332: | ||
|- | |- | ||
!fret | !fret | ||
|0 | | align="right" |0 | ||
| | | align="right" |1a | ||
| | | align="right" |1b | ||
|2a | | align="right" |2a | ||
|2b | | align="right" |2b | ||
|3a | | align="right" |3a | ||
|3b | | align="right" |3b | ||
|4a | | align="right" |4a | ||
|4b | | align="right" |4b | ||
| | |5a | ||
| | | align="right" |5b | ||
|6 | | align="right" |6 | ||
| | | align="right" |7a | ||
| | | align="right" |7b | ||
|8a | | align="right" |8a | ||
|8b | | align="right" |8b | ||
|9a | | align="right" |9a | ||
|9b | | align="right" |9b | ||
|10a | | align="right" |10a | ||
|10b | | align="right" |10b | ||
| | |11a | ||
| | |11b | ||
|12 | |12 | ||
|- | |- | ||
| Line 440: | Line 439: | ||
|} | |} | ||
== Various popular | == Various popular EDOs 26-41 == | ||
The open string is always named "0", and the octave fret is always named "12". | The open string is always named "0", and the octave fret is always named "12". | ||
Starting with | Starting with 26edo, the first fret is too small to be numbered with 1. Naming it 0a or 0b would cause inconsistencies with frets in the "12" category, which runs 25\26=12a, 26\26=12, and 27\26=12c. For example, fret 0b plus an octave would be not 12b but 12c. To avoid this, the rule is "the zeros must match the twelves". Therefore the first fret in larger edos is named 0c. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| Line 495: | Line 494: | ||
!1 | !1 | ||
| align="right" |46 | | align="right" |46 | ||
| | |0c | ||
| align="right" |44 | | align="right" |44 | ||
| | |0c | ||
| align="right" |41 | | align="right" |41 | ||
|0c | |0c | ||
| Line 558: | Line 557: | ||
|2a | |2a | ||
| align="right" |155 | | align="right" |155 | ||
| | |2a | ||
| align="right" |141 | | align="right" |141 | ||
|1c | |1c | ||
| Line 577: | Line 576: | ||
|2b | |2b | ||
| align="right" |194 | | align="right" |194 | ||
| | |2b | ||
| align="right" |176 | | align="right" |176 | ||
|2a | |2a | ||
| Line 583: | Line 582: | ||
|2a | |2a | ||
| align="right" |146 | | align="right" |146 | ||
| | |1d | ||
| align="right" |293 | | align="right" |293 | ||
| | |3 | ||
!5 | !5 | ||
|- | |- | ||
| Line 594: | Line 593: | ||
|3a | |3a | ||
| align="right" |248 | | align="right" |248 | ||
| | |2c | ||
| align="right" |232 | | align="right" |232 | ||
| | |2c | ||
| align="right" |212 | | align="right" |212 | ||
|2b | |2b | ||
| Line 604: | Line 603: | ||
|2a | |2a | ||
| align="right" |351 | | align="right" |351 | ||
| | |4a | ||
!6 | !6 | ||
|- | |- | ||
| Line 617: | Line 616: | ||
|3a | |3a | ||
| align="right" |247 | | align="right" |247 | ||
| | |2c | ||
| align="right" |221 | | align="right" |221 | ||
|2c | |2c | ||
| Line 623: | Line 622: | ||
|2b | |2b | ||
| align="right" |410 | | align="right" |410 | ||
| | |4b | ||
!7 | !7 | ||
|- | |- | ||
| Line 630: | Line 629: | ||
|4a | |4a | ||
| align="right" |356 | | align="right" |356 | ||
| | |4a | ||
| align="right" |331 | | align="right" |331 | ||
|3b | |3b | ||
| Line 638: | Line 637: | ||
|3a | |3a | ||
| align="right" |253 | | align="right" |253 | ||
| | |3a | ||
| align="right" |234 | | align="right" |234 | ||
|2c | |2c | ||
| Line 649: | Line 648: | ||
|4b | |4b | ||
| align="right" |400 | | align="right" |400 | ||
| | |4b | ||
| align="right" |372 | | align="right" |372 | ||
|4a | |4a | ||
| align="right" |348 | | align="right" |348 | ||
| | |3c | ||
| align="right" |318 | | align="right" |318 | ||
|3b | |3b | ||
| align="right" |284 | | align="right" |284 | ||
| | |3b | ||
| align="right" |263 | | align="right" |263 | ||
|3a | |3a | ||
| Line 668: | Line 667: | ||
|5a | |5a | ||
| align="right" |444 | | align="right" |444 | ||
| | |4c | ||
| align="right" |414 | | align="right" |414 | ||
|4b | |4b | ||
| Line 674: | Line 673: | ||
|4a | |4a | ||
| align="right" |353 | | align="right" |353 | ||
| | |4a | ||
| align="right" |316 | | align="right" |316 | ||
| | |3c | ||
| align="right" |293 | | align="right" |293 | ||
|3b | |3b | ||
| Line 689: | Line 688: | ||
|5a | |5a | ||
| align="right" |455 | | align="right" |455 | ||
| | |5a | ||
| align="right" |426 | | align="right" |426 | ||
|4b | |4b | ||
| align="right" |388 | | align="right" |388 | ||
| | |4b | ||
| align="right" |347 | | align="right" |347 | ||
| | |3d | ||
| align="right" |322 | | align="right" |322 | ||
|3c | |3c | ||
| align="right" |644 | | align="right" |644 | ||
| | |6b | ||
!11 | !11 | ||
|- | |- | ||
! align="right" |12 | ! align="right" |12 | ||
| align="right" |554 | | align="right" |554 | ||
| | |6a | ||
| align="right" |533 | | align="right" |533 | ||
|5b | |5b | ||
| align="right" |497 | | align="right" |497 | ||
| | |5b | ||
| align="right" |465 | | align="right" |465 | ||
|5a | |5a | ||
| align="right" |424 | | align="right" |424 | ||
| | |4c | ||
| align="right" |379 | | align="right" |379 | ||
|4a | |4a | ||
| align="right" |351 | | align="right" |351 | ||
| | |4a | ||
| align="right" |702 | | align="right" |702 | ||
|7 | |7 | ||
| Line 723: | Line 722: | ||
! align="right" |13 | ! align="right" |13 | ||
| align="right" |600 | | align="right" |600 | ||
| | |6b | ||
| align="right" |578 | | align="right" |578 | ||
|6a | |6a | ||
| align="right" |538 | | align="right" |538 | ||
| | |5c | ||
| align="right" |503 | | align="right" |503 | ||
|5b | |5b | ||
| Line 735: | Line 734: | ||
|4b | |4b | ||
| align="right" |380 | | align="right" |380 | ||
| | |4b | ||
| align="right" |761 | | align="right" |761 | ||
|8a | |8a | ||
| Line 742: | Line 741: | ||
! align="right" |14 | ! align="right" |14 | ||
| align="right" |646 | | align="right" |646 | ||
| | |6c | ||
| align="right" |622 | | align="right" |622 | ||
|6b | |6b | ||
| Line 754: | Line 753: | ||
|4c | |4c | ||
| align="right" |410 | | align="right" |410 | ||
| | |4c | ||
| align="right" |820 | | align="right" |820 | ||
|8b | |8b | ||
| Line 773: | Line 772: | ||
|5a | |5a | ||
| align="right" |439 | | align="right" |439 | ||
| | |4d | ||
| align="right" |878 | | align="right" |878 | ||
|9a | |9a | ||
| Line 801: | Line 800: | ||
|8a | |8a | ||
| align="right" |756 | | align="right" |756 | ||
| | |8a | ||
| align="right" |703 | | align="right" |703 | ||
|7b | |7b | ||
| Line 820: | Line 819: | ||
|8b | |8b | ||
| align="right" |800 | | align="right" |800 | ||
| | |8b | ||
| align="right" |745 | | align="right" |745 | ||
| | |7c | ||
| align="right" |697 | | align="right" |697 | ||
|7b | |7b | ||
| Line 832: | Line 831: | ||
|5c | |5c | ||
| align="right" |1054 | | align="right" |1054 | ||
| | |11a | ||
!18 | !18 | ||
|- | |- | ||
| Line 839: | Line 838: | ||
|9a | |9a | ||
| align="right" |844 | | align="right" |844 | ||
| | |8c | ||
| align="right" |786 | | align="right" |786 | ||
|8a | |8a | ||
| Line 849: | Line 848: | ||
|6b | |6b | ||
| align="right" |556 | | align="right" |556 | ||
| | |6a | ||
| align="right" |1112 | | align="right" |1112 | ||
| | |11b | ||
!19 | !19 | ||
|- | |- | ||
| Line 868: | Line 867: | ||
|6c | |6c | ||
| align="right" |585 | | align="right" |585 | ||
| | |6b | ||
| align="right" |1171 | | align="right" |1171 | ||
|12a | |12a | ||
| Line 887: | Line 886: | ||
|7a | |7a | ||
| align="right" |615 | | align="right" |615 | ||
| | |6c | ||
| align="right" |1229 | | align="right" |1229 | ||
|12b | |12b | ||
| Line 900: | Line 899: | ||
|9b | |9b | ||
| align="right" |852 | | align="right" |852 | ||
| | |9a | ||
| align="right" |776 | | align="right" |776 | ||
|8a | |8a | ||
| Line 906: | Line 905: | ||
|7b | |7b | ||
| align="right" |644 | | align="right" |644 | ||
| | |6d | ||
| align="right" |1288 | | align="right" |1288 | ||
| | |13a | ||
!22 | !22 | ||
|- | |- | ||
| Line 917: | Line 916: | ||
|10b | |10b | ||
| align="right" |952 | | align="right" |952 | ||
| | |10a | ||
| align="right" |890 | | align="right" |890 | ||
| | |9b | ||
| align="right" |812 | | align="right" |812 | ||
|8b | |8b | ||
| Line 927: | Line 926: | ||
|7a | |7a | ||
| align="right" |1346 | | align="right" |1346 | ||
| | |13b | ||
!23 | !23 | ||
|- | |- | ||
| Line 936: | Line 935: | ||
|11a | |11a | ||
| align="right" |993 | | align="right" |993 | ||
| | |19b | ||
| align="right" |929 | | align="right" |929 | ||
| | |9c | ||
| align="right" |847 | | align="right" |847 | ||
| | |8c | ||
| align="right" |758 | | align="right" |758 | ||
|8a | |8a | ||
| Line 951: | Line 950: | ||
! align="right" |25 | ! align="right" |25 | ||
| align="right" |1154 | | align="right" |1154 | ||
| | |12a | ||
| align="right" |1111 | | align="right" |1111 | ||
|11b | |11b | ||
| align="right" |1034 | | align="right" |1034 | ||
| | |10c | ||
| align="right" |968 | | align="right" |968 | ||
|10a | |10a | ||
| Line 972: | Line 971: | ||
|12 | |12 | ||
| align="right" |1156 | | align="right" |1156 | ||
| | |12a | ||
| align="right" |1076 | | align="right" |1076 | ||
|11a | |11a | ||
| Line 989: | Line 988: | ||
! align="right" |27 | ! align="right" |27 | ||
| align="right" |1246 | | align="right" |1246 | ||
| | |12c | ||
| align="right" |1200 | | align="right" |1200 | ||
|12 | |12 | ||
| Line 995: | Line 994: | ||
|11b | |11b | ||
| align="right" |1045 | | align="right" |1045 | ||
| | |10c | ||
| align="right" |953 | | align="right" |953 | ||
| | |10a | ||
| align="right" |853 | | align="right" |853 | ||
| | |9a | ||
| align="right" |790 | | align="right" |790 | ||
|8b | |8b | ||
| Line 1,009: | Line 1,008: | ||
| colspan="2" rowspan="14" | | | colspan="2" rowspan="14" | | ||
| align="right" |1244 | | align="right" |1244 | ||
| | |12c | ||
| align="right" |1159 | | align="right" |1159 | ||
|12a | |12a | ||
| Line 1,015: | Line 1,014: | ||
|11a | |11a | ||
| align="right" |988 | | align="right" |988 | ||
| | |10b | ||
| align="right" |884 | | align="right" |884 | ||
| | |9b | ||
| align="right" |820 | | align="right" |820 | ||
|8c | |8c | ||
| Line 1,031: | Line 1,030: | ||
|11b | |11b | ||
| align="right" |1024 | | align="right" |1024 | ||
| | |10c | ||
| align="right" |916 | | align="right" |916 | ||
| | |9c | ||
| align="right" |849 | | align="right" |849 | ||
| | |8d | ||
| align="right" |1698 | | align="right" |1698 | ||
|17 | |17 | ||
| Line 1,048: | Line 1,047: | ||
|11a | |11a | ||
| align="right" |947 | | align="right" |947 | ||
| | |9d | ||
| align="right" |878 | | align="right" |878 | ||
|9a | |9a | ||
| Line 1,102: | Line 1,101: | ||
|10b | |10b | ||
| align="right" |1990 | | align="right" |1990 | ||
| | |20a | ||
!34 | !34 | ||
|- | |- | ||
| Line 1,113: | Line 1,112: | ||
|10c | |10c | ||
| align="right" |2049 | | align="right" |2049 | ||
| | |20b | ||
!35 | !35 | ||
|- | |- | ||
| Line 1,121: | Line 1,120: | ||
|11c | |11c | ||
| align="right" |1054 | | align="right" |1054 | ||
| | |11a | ||
| align="right" |2107 | | align="right" |2107 | ||
|21 | |21 | ||
| Line 1,130: | Line 1,129: | ||
|12a | |12a | ||
| align="right" |1083 | | align="right" |1083 | ||
| | |11b | ||
| align="right" |2166 | | align="right" |2166 | ||
|22a | |22a | ||
| Line 1,139: | Line 1,138: | ||
|12 | |12 | ||
| align="right" |1112 | | align="right" |1112 | ||
| | |11c | ||
| align="right" |2224 | | align="right" |2224 | ||
|22b | |22b | ||
| Line 1,148: | Line 1,147: | ||
|12c | |12c | ||
| align="right" |1141 | | align="right" |1141 | ||
| | |11d | ||
| align="right" |2283 | | align="right" |2283 | ||
|23a | |23a | ||
| Line 1,179: | Line 1,178: | ||
! | ! | ||
|} | |} | ||
== Various EDOs smaller than 15 == | == Various EDOs smaller than 15 == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 1,215: | Line 1,212: | ||
| align="right" |1200 | | align="right" |1200 | ||
| colspan="5" rowspan="2" | | | colspan="5" rowspan="2" | | ||
| rowspan="2" |omits<br>2, 6 | | rowspan="2" |omits<br>2, 6 and 10 | ||
|- | |- | ||
!fret | !fret | ||
| Line 1,361: | Line 1,358: | ||
|} | |} | ||
== | == Neck markings for various edos == | ||
{| class="wikitable center-all" | |||
|+ | |||
!15edo | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
|- | |||
!cents | |||
|0 | |||
| align="right" |80 | |||
| align="right" |160 | |||
| align="right" |240 | |||
| align="right" |320 | |||
| align="right" |400 | |||
| align="right" |480 | |||
| align="right" |560 | |||
| align="right" |640 | |||
| align="right" |720 | |||
| align="right" |800 | |||
| align="right" |880 | |||
| align="right" |960 | |||
| align="right" |1040 | |||
| align="right" |1120 | |||
| align="right" |1200 | |||
|- | |||
!fret name | |||
|0 | |||
|1 | |||
|2a | |||
|2b | |||
|3 | |||
|4 | |||
|5 | |||
|6a | |||
|6b | |||
|7 | |||
|8 | |||
|9 | |||
|10a | |||
|10b | |||
|11 | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| | |||
| colspan="2" align="right" |<nowiki>|____*|</nowiki> | |||
| | |||
| | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| | |||
| | |||
| colspan="2" align="right" |<nowiki>|*_____|</nowiki> | |||
| | |||
| align="right" |* * | |||
|} | |||
There are actually many ways to number 16edo. | |||
{| class="wikitable center-all" | |||
|+16edo, four different ways | |||
!16edo | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
! align="right" |16 | |||
|- | |||
!cents | |||
|0 | |||
| align="right" |75 | |||
| align="right" |150 | |||
| align="right" |225 | |||
| align="right" |300 | |||
| align="right" |375 | |||
| align="right" |450 | |||
| align="right" |525 | |||
| align="right" |600 | |||
| align="right" |675 | |||
| align="right" |750 | |||
| align="right" |825 | |||
| align="right" |900 | |||
| align="right" |975 | |||
| align="right" |1050 | |||
| align="right" |1125 | |||
| align="right" |1200 | |||
|- | |||
!fret name | |||
|0 | |||
|1 | |||
|h2 | |||
|2 | |||
|3 | |||
|4 | |||
|4h | |||
|5 | |||
|6 | |||
|7 | |||
|h8 | |||
|8 | |||
|9 | |||
|10 | |||
|10h | |||
|11 | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| | |||
|* * | |||
|- | |||
!fret name | |||
|0 | |||
|1 | |||
| align="right" |1h | |||
| align="right" |2 | |||
|3 | |||
| align="right" |4 | |||
| align="right" |4h | |||
|5 | |||
|6 | |||
|7 | |||
| align="right" |h8 | |||
| align="right" |8 | |||
|9 | |||
| align="right" |10 | |||
| align="right" |h11 | |||
|11 | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| align="right" | | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* * | |||
|- | |||
!fret name | |||
|0 | |||
| align="right" |1 | |||
| align="right" |h2 | |||
| align="right" |2 | |||
|3 | |||
| align="right" |4 | |||
| align="right" |h5 | |||
|5 | |||
|6 | |||
|7 | |||
| align="right" |7h | |||
| align="right" |8 | |||
|9 | |||
| align="right" |10 | |||
| align="right" |10h | |||
| align="right" |11 | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|____*|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| align="right" | | |||
|* * | |||
|- | |||
!fret name | |||
|0 | |||
| align="right" |1 | |||
| align="right" |1h | |||
| align="right" |2 | |||
|3 | |||
| align="right" |4 | |||
| align="right" |h5 | |||
|5 | |||
|6 | |||
|7 | |||
| align="right" |7h | |||
| align="right" |8 | |||
|9 | |||
| align="right" |10 | |||
| align="right" |h11 | |||
| align="right" |11 | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| align="right" | | |||
|* | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|____*|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| | |||
|* | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* * | |||
|} | |||
DFN was devised by [[Kite Giedraitis]] in | {| class="wikitable center-all" | ||
|+ | |||
!17edo | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
! align="right" |16 | |||
! align="right" |17 | |||
|- | |||
!cents | |||
|0 | |||
| align="right" |71 | |||
| align="right" |141 | |||
| align="right" |212 | |||
| align="right" |282 | |||
| align="right" |353 | |||
| align="right" |424 | |||
| align="right" |494 | |||
| align="right" |565 | |||
| align="right" |635 | |||
| align="right" |706 | |||
| align="right" |776 | |||
| align="right" |847 | |||
| align="right" |918 | |||
| align="right" |988 | |||
| align="right" |1059 | |||
| align="right" |1129 | |||
| align="right" |1200 | |||
|- | |||
!fret name | |||
|0 | |||
|1a | |||
|1b | |||
|2 | |||
|3 | |||
|4a | |||
|4b | |||
|5 | |||
|6a | |||
|6b | |||
|7 | |||
|8a | |||
|8b | |||
|9 | |||
|10 | |||
|11a | |||
|11b | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| | |||
| align="right" |* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
|* * | |||
|} | |||
{| class="wikitable center-all" | |||
|+ | |||
!22edo | |||
!0 | |||
!1 | |||
!2 | |||
!3 | |||
!4 | |||
!5 | |||
!6 | |||
!7 | |||
!8 | |||
!9 | |||
!10 | |||
!11 | |||
!12 | |||
!13 | |||
!14 | |||
!15 | |||
!16 | |||
!17 | |||
!18 | |||
!19 | |||
!20 | |||
!21 | |||
!22 | |||
|- | |||
!cents | |||
| align="right" |0 | |||
| align="right" |55 | |||
| align="right" |109 | |||
| align="right" |164 | |||
| align="right" |218 | |||
| align="right" |273 | |||
| align="right" |327 | |||
| align="right" |382 | |||
| align="right" |436 | |||
|491 | |||
| align="right" |545 | |||
| align="right" |600 | |||
| align="right" |655 | |||
| align="right" |709 | |||
| align="right" |764 | |||
| align="right" |818 | |||
| align="right" |873 | |||
| align="right" |927 | |||
| align="right" |982 | |||
| align="right" |1036 | |||
| align="right" |1091 | |||
| align="right" |1145 | |||
| align="right" |1200 | |||
|- | |||
!fret name | |||
| align="right" |0 | |||
| align="right" |1a | |||
| align="right" |1b | |||
| align="right" |2a | |||
| align="right" |2b | |||
| align="right" |3a | |||
| align="right" |3b | |||
| align="right" |4a | |||
| align="right" |4b | |||
|5a | |||
| align="right" |5b | |||
| align="right" |6 | |||
| align="right" |7a | |||
| align="right" |7b | |||
| align="right" |8a | |||
| align="right" |8b | |||
| align="right" |9a | |||
| align="right" |9b | |||
| align="right" |10a | |||
| align="right" |10b | |||
|11a | |||
|11b | |||
|12 | |||
|- | |||
!markings | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*_____|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____*|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____*|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| align="right" |* * | |||
|} | |||
{| class="wikitable center-all" | |||
|+24edo | |||
!24edo | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
! align="right" |16 | |||
! align="right" |17 | |||
! align="right" |18 | |||
! align="right" |19 | |||
! align="right" |20 | |||
! align="right" |21 | |||
! align="right" |22 | |||
! align="right" |23 | |||
! align="right" |24 | |||
|- | |||
!cents | |||
|0 | |||
| align="right" |50 | |||
| align="right" |100 | |||
| align="right" |150 | |||
| align="right" |200 | |||
| align="right" |250 | |||
| align="right" |300 | |||
| align="right" |350 | |||
| align="right" |400 | |||
| align="right" |450 | |||
| align="right" |500 | |||
| align="right" |550 | |||
| align="right" |600 | |||
| align="right" |650 | |||
| align="right" |700 | |||
| align="right" |750 | |||
| align="right" |800 | |||
| align="right" |850 | |||
| align="right" |900 | |||
| align="right" |950 | |||
| align="right" |1000 | |||
| align="right" |1050 | |||
| align="right" |1100 | |||
| align="right" |1150 | |||
| align="right" |1200 | |||
|- | |||
!fret | |||
|0 | |||
|0h | |||
|1 | |||
|1h | |||
|2 | |||
|2h | |||
|3 | |||
|3h | |||
|4 | |||
|4h | |||
|5 | |||
|5h | |||
|6 | |||
|h6 | |||
|7 | |||
|7h | |||
|8 | |||
|8h | |||
|9 | |||
|9h | |||
|10 | |||
|10h | |||
|11 | |||
|11h | |||
|12 | |||
|- | |||
!markings | |||
| | |||
| align="right" | | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|*____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|______|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|______|</nowiki> | |||
| align="right" |** | |||
|} | |||
{| class="wikitable center-all" | |||
|+31edo | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
! align="right" |16 | |||
! align="right" |17 | |||
! align="right" |18 | |||
! align="right" |19 | |||
! align="right" |20 | |||
! align="right" |21 | |||
! align="right" |22 | |||
! align="right" |23 | |||
! align="right" |24 | |||
!25 | |||
!26 | |||
!27 | |||
!28 | |||
!29 | |||
!30 | |||
!31 | |||
|- | |||
| align="right" |0 | |||
| align="right" |39 | |||
| align="right" |77 | |||
| align="right" |116 | |||
| align="right" |155 | |||
| align="right" |194 | |||
| align="right" |232 | |||
| align="right" |271 | |||
| align="right" |310 | |||
| align="right" |348 | |||
| align="right" |387 | |||
| align="right" |426 | |||
| align="right" |465 | |||
| align="right" |503 | |||
| align="right" |542 | |||
| align="right" |581 | |||
| align="right" |619 | |||
| align="right" |658 | |||
| align="right" |697 | |||
| align="right" |735 | |||
| align="right" |774 | |||
| align="right" |813 | |||
| align="right" |852 | |||
| align="right" |890 | |||
| align="right" |929 | |||
| align="right" |968 | |||
| align="right" |1006 | |||
| align="right" |1045 | |||
| align="right" |1084 | |||
| align="right" |1123 | |||
| align="right" |1161 | |||
| align="right" |1200 | |||
|- | |||
|0 | |||
|0c | |||
|1a | |||
|1b | |||
|2a | |||
|2b | |||
|2c | |||
|3a | |||
|3b | |||
|3c | |||
|4a | |||
|4b | |||
|5a | |||
|5b | |||
|5c | |||
|6a | |||
|6b | |||
|7a | |||
|7b | |||
|7c | |||
|8a | |||
|8b | |||
|9a | |||
|9b | |||
|9c | |||
|10a | |||
|10b | |||
|10c | |||
|11a | |||
|11b | |||
|12a | |||
|12 | |||
|- | |||
| | |||
| | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|__________|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|____*_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|____*_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|____*_____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|____*_____|</nowiki> | |||
| colspan="3" align="right" |<nowiki>|___________|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|______|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_____**</nowiki> | |||
|} | |||
For the Kite guitar, an extra fret between e.g. 1a and 1b can be named 1A. A fret between e.g. 3 and 4a can be named 3A. | |||
{| class="wikitable center-all" | |||
|+41edo skip-fretting (Kite guitar) | |||
!0 | |||
! align="right" |1 | |||
! align="right" |2 | |||
! align="right" |3 | |||
! align="right" |4 | |||
! align="right" |5 | |||
! align="right" |6 | |||
! align="right" |7 | |||
! align="right" |8 | |||
! align="right" |9 | |||
! align="right" |10 | |||
! align="right" |11 | |||
! align="right" |12 | |||
! align="right" |13 | |||
! align="right" |14 | |||
! align="right" |15 | |||
! align="right" |16 | |||
! align="right" |17 | |||
! align="right" |18 | |||
! align="right" |19 | |||
! align="right" |20 | |||
! align="right" |21 | |||
! align="right" |22 | |||
! align="right" |23 | |||
! align="right" |24 | |||
!25 | |||
!26 | |||
!27 | |||
!28 | |||
!29 | |||
!30 | |||
! align="right" |31 | |||
! align="right" |32 | |||
! align="right" |33 | |||
! align="right" |34 | |||
! align="right" |35 | |||
! align="right" |36 | |||
! align="right" |37 | |||
! align="right" |38 | |||
! align="right" |39 | |||
! align="right" |40 | |||
! align="right" |41 | |||
|- | |||
|0 | |||
|1a | |||
|1b | |||
|2a | |||
|2b | |||
|3 | |||
|4a | |||
|4b | |||
|5a | |||
|5b | |||
|6a | |||
|6b | |||
|7 | |||
|8a | |||
|8b | |||
|9a | |||
|9b | |||
|10 | |||
|... | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|14 | |||
| | |||
| | |||
| | |||
| | |||
|17 | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|21 | |||
| | |||
| | |||
| | |||
| | |||
|24 | |||
|- | |||
| | |||
| colspan="2" align="right" |<nowiki>|__|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|_</nowiki><u>*</u><nowiki>|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|__|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|</nowiki><u>**_</u><nowiki>|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
|*** | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|___</nowiki><u>*</u><nowiki>|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|</nowiki><u>**___</u><nowiki>|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
|*** | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|___</nowiki><u>*</u><nowiki>|</nowiki> | |||
| | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|</nowiki><u>**___</u><nowiki>|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
|*** | |||
| colspan="2" align="right" |<nowiki>|____|</nowiki> | |||
| colspan="2" align="right" |<nowiki>|___</nowiki><u>*</u><nowiki>|</nowiki> | |||
| | |||
|} | |||
== Notes == | |||
DFN was devised by [[Kite Giedraitis]] in November 2026. | |||
See also [[KDF Fret Numbering|KDF fret numbering]] for the Kite guitar. | |||