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How to make a Kite Guitar: Difference between revisions

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→Cents: added a table of 41edo cents
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===Replacing each fret vs. replacing the entire fretboard===
===Replacing each fret vs. replacing the entire fretboard===
When converting a guitar, it's best to replace the entire fretboard, rather than removing the frets and putting new frets in the old fretboard. The 41-equal 5th is 702.5¢, so two frets will be only 2.5¢ away from the old ones, two will be 5¢ away, etc. So the old and new fret slots overlap, making conversion difficult. The following table shows the distance from the old fret to the new fret for close pairs. One could just use the old slots (or even the old frets) and accept a few cents error. But in certain keys a 5¢ error will make the downmajor 6th or 10th that's already 6¢ flat a full 11¢ flat.
When converting a guitar, it's best to replace the entire fretboard, rather than removing the frets and putting new frets in the old fretboard. The 41-equal 5th is 702.5¢, so two frets will be only 2.5¢ away from the old ones, two will be 5¢ away, etc. So the old and new fret slots overlap, making conversion difficult. The following table shows the distance from the old fret to the new fret for close pairs. One could just use the old slots (or even the old frets) and accept a few cents error. But in certain keys a 5¢ error will make the downmajor 6th or 10th that's already 6¢ flat a full 11¢ flat.
{| class="wikitable"
{| class="wikitable center-all"
|+distance between fret slots (center to center, scale = 25.5")
|+distance between fret slots (center to center, scale = 25.5")
! old fret
!old fret
|7
| 7
|10
|10
|14
|14
| 17
|17
| 20
|20
|21
| 21
|-
|-
! new fret
! new fret
| 12
|12
|17
|17
|24
|24
| 29
|29
|34
|34
|36
|36
Line 301: Line 301:
!distance
!distance
|0.024"
|0.024"
| -0.040"
| -0.040"
|0.032"
|0.032"
|  -0.013"
|  -0.013"
| -0.045"
| -0.045"
| 0.032"
|0.032"
|}
|}
Removing the entire fretboard also has the advantage that you can get a pre-slotted computer-cut fretboard fairly cheaply that has extremely accurate slot placement (see [[How to make a Kite Guitar#Fret%20Placement|Fret Placement]] below).  
Removing the entire fretboard also has the advantage that you can get a pre-slotted computer-cut fretboard fairly cheaply that has extremely accurate slot placement (see [[How to make a Kite Guitar#Fret%20Placement|Fret Placement]] below).  
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*[https://precisionpearl.com/ Precision Pearl] (Texas)
*[https://precisionpearl.com/ Precision Pearl] (Texas)


=== Adding in-between frets or fretlets ===
===Adding in-between frets or fretlets===
This section covers adding new frets or [https://Fretlet.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. A tangless frets is secured with glue or two-sided tape. You can place it temporarily with ordinary tape over the top of it, and check the cents with a tuner. Then mark the position with a pencil and attach it more permanently. Or you can use the following formulas.
This section covers adding new frets or [https://Fretlet.com fretlets] (short frets that don't reach all the strings) to an already completed Kite guitar. The fret you are adding may or may not have a tang, and you may or may not need to cut a fret slot for it. A tangless frets is secured with glue or two-sided tape. You can place it temporarily with ordinary tape over the top of it, and check the cents with a tuner. Then mark the position with a pencil and attach it more permanently. Or you can use the following formulas.


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The new fret will not be exactly equidistant from the neighboring frets. It will be slightly closer to the higher one. The formulas are:
The new fret will not be exactly equidistant from the neighboring frets. It will be slightly closer to the higher one. The formulas are:


* D1 = (X + F) / (1/K + 1) - F/2 (edge-to-edge distance from the lower fret to the new fret)
*D1 = (X + F) / (1/K + 1) - F/2 (edge-to-edge distance from the lower fret to the new fret)
* D2 = (X + F) / (K + 1) - F/2  (edge-to-edge distance from the new fret to the higher fret)
*D2 = (X + F) / (K + 1) - F/2  (edge-to-edge distance from the new fret to the higher fret)
* K = 41st root of 2 = 2 ^ (1/41) = 1.017049
*K = 41st root of 2 = 2 ^ (1/41) = 1.017049
* 1/K + 1 = 1.983 (mnemonic: 1983 A Merman I Should Turn to Be)
*1/K + 1 = 1.983 (mnemonic: 1983 A Merman I Should Turn to Be)
* K + 1 = 2.017
*K + 1 = 2.017


K is a constant for all Kite guitars. F is constant for a specific Kite guitar and the specific fretwire used for the new frets. (These formulas work even if the original frets and the new frets are different widths.) X varies for each fret.
K is a constant for all Kite guitars. F is constant for a specific Kite guitar and the specific fretwire used for the new frets. (These formulas work even if the original frets and the new frets are different widths.) X varies for each fret.
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Incidentally, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:
Incidentally, these formulas work for any edo. Just change the value of K. If adding frets to a 12-edo guitar to convert it to 24edo:


* K = 24th root of 2 = 2 ^ (1/24) = 1.0293
*K = 24th root of 2 = 2 ^ (1/24) = 1.0293
* 1/K = 2 ^ (-1/24)=  0.9715
*1/K = 2 ^ (-1/24)=  0.9715


==Fret Markers==
==Fret Markers==
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Because the frets get closer as one goes up the neck, the double dots are closer to the triple dots than the single dots. As a result, if the distance between the double dots is the same as the distance between any two of the triple dots, the side of each "kite" formed by the dots is a concave line. To make a nice straight line, use the spreadsheet from [[How to make a Kite Guitar#Fret%20Placement|above]].
Because the frets get closer as one goes up the neck, the double dots are closer to the triple dots than the single dots. As a result, if the distance between the double dots is the same as the distance between any two of the triple dots, the side of each "kite" formed by the dots is a concave line. To make a nice straight line, use the spreadsheet from [[How to make a Kite Guitar#Fret%20Placement|above]].


== DIY Frets ==
==DIY Frets==
By far the largest expense of a conversion is the fretwork. For a cheap conversion, one can defret a guitar, fill the old fret slots with wood filler, and then create new frets without using fretwire.
By far the largest expense of a conversion is the fretwork. For a cheap conversion, one can defret a guitar, fill the old fret slots with wood filler, and then create new frets without using fretwire.


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* each shaft of a [[wikipedia:Split_pin|cotter pin]]
* each shaft of a [[wikipedia:Split_pin|cotter pin]]
* half-round dental clasp wire
* half-round dental clasp wire
* tangless fretwire meant for [[wikipedia:Parker_Guitars|Parker guitars]]
*tangless fretwire meant for [[wikipedia:Parker_Guitars|Parker guitars]]
* plastic cable ties aka zip ties (easiest to apply)
*plastic cable ties aka zip ties (easiest to apply)


For the metal materials, use double-sided sticky tape to attach the fret. Check the placement with an electronic tuner. Works best on an unradiused fretboard.
For the metal materials, use double-sided sticky tape to attach the fret. Check the placement with an electronic tuner. Works best on an unradiused fretboard.
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[https://www.ghsstrings.com/ GHS Strings] has various string tension guides:   
[https://www.ghsstrings.com/ GHS Strings] has various string tension guides:   


* [http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-elec-guitar-tension.pdf ghs-elec-guitar-tension.pdf]
*[http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-elec-guitar-tension.pdf ghs-elec-guitar-tension.pdf]
* [http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-acoustic-guitar-tension.pdf ghs-acoustic-guitar-tension.pdf]
*[http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-acoustic-guitar-tension.pdf ghs-acoustic-guitar-tension.pdf]
* [http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-bass-guitar-tension.pdf ghs-bass-guitar-tension.pdf]
*[http://www.ghsrep.weebly.com/uploads/2/2/2/5/22258814/2020-ghs-bass-guitar-tension.pdf ghs-bass-guitar-tension.pdf]


D'Addario has [https://www.daddario.com/globalassets/pdfs/accessories/tension_chart_13934.pdf published] their unit weights, thus the individual tensions can be calculated for a given set of strings. This spreadsheet contains their products with their unit weights: [https://tallkite.com/misc_files/StringTensionCalculator.ods TallKite.com/misc_files/StringTensionCalculator.ods].   
D'Addario has [https://www.daddario.com/globalassets/pdfs/accessories/tension_chart_13934.pdf published] their unit weights, thus the individual tensions can be calculated for a given set of strings. This spreadsheet contains their products with their unit weights: [https://tallkite.com/misc_files/StringTensionCalculator.ods TallKite.com/misc_files/StringTensionCalculator.ods].   
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[https://www.juststrings.com/ JustStrings.com] and [https://www.stringsbymail.com/ StringsByMail.com] both sell custom gauges singly or in bulk.  
[https://www.juststrings.com/ JustStrings.com] and [https://www.stringsbymail.com/ StringsByMail.com] both sell custom gauges singly or in bulk.  
{| class="wikitable"
{| class="wikitable"
|}
{| class="wikitable center-2 center-3"
|+
|+
!
!
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|Phosphor Bronze
|Phosphor Bronze
|-
|-
|27"
| style="text-align:center;" |27"
|vD
|vD
|11.5  15  18p  24w  30  36  46  56
|11.5  15  18p  24w  30  36  46  56
|D'Addario
| D'Addario
|somewhat light
|somewhat light
|-
|-
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|
|
|-
|-
|25.5"
| style="text-align:center;" | 25.5"
|vD
|vD
|10  11.5  15  19p/20w  26  32  40  50
|10  11.5  15  19p/20w  26  32  40  50
Line 432: Line 434:
|-
|-
!electric bass
!electric bass
|34"
| 34"
|vD
| vD
|40  55  70  80  95  110/115
|40  55  70  80  95  110/115
|StringJoy
|StringJoy
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|}
|}


==Saddle and Nut Compensation==
== Saddle and Nut Compensation ==


Since the Kite guitar is so much more in tune than the 12-equal guitar, extra care should be taken with saddle/nut compensation.
Since the Kite guitar is so much more in tune than the 12-equal guitar, extra care should be taken with saddle/nut compensation.
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{| class="wikitable"
{| class="wikitable"
|+Best frets to check for Kite Guitar intonation setup
|+Best frets to check for Kite Guitar intonation setup
!fret
! fret
!interval
!interval
!ratio
!ratio
!harmonic
!harmonic
!fretted note should be
!fretted note should be
!for each cent of sharpness
! for each cent of sharpness
!location to play shared harmonic
!location to play shared harmonic
|-
|-
Line 474: Line 476:
| 3rd
| 3rd
|0.5¢ sharp
|0.5¢ sharp
|flatten by two cents
| flatten by two cents
|2/3 of string: between frets 32 and 33
|2/3 of string: between frets 32 and 33
|-
|-
|24
|24
|maj 9th
|maj 9th
| 9/4
|9/4
|9th
|9th
| 1¢ sharp
|1¢ sharp
|flatten by four-fifths of a cent
|flatten by four-fifths of a cent
|8/9 of string: past the fretboard up by the bridge
|8/9 of string: past the fretboard up by the bridge
Line 490: Line 492:
|7th
|7th
|3¢ flat
|3¢ flat
| flatten by two-fifths of a cent
|flatten by two-fifths of a cent
|6/7 of string: past the fretboard up by the bridge
| 6/7 of string: past the fretboard up by the bridge
|-
|-
|41
|41
|dbl 8ve
|dbl 8ve
|4/1
| 4/1
|4th
|4th
|the same
| the same
|flatten by one-third of a cent
|flatten by one-third of a cent
|1/4 of string: at the same fret 41
|1/4 of string: at the same fret 41
Line 541: Line 543:
|+distance from center of 1st string to center of Nth string
|+distance from center of 1st string to center of Nth string
!
!
!C2C
! C2C
! E2E
! E2E
! E2NE
! E2NE
!E2NE off-centeredness
! E2NE off-centeredness
|-
|-
!2nd string
!2nd string
|D
| D
|D + R1 + R2
|D + R1 + R2
|D - x + R1
|D - x + R1
|x
| x
|-
|-
!3rd string
! 3rd string
|2D
| 2D
|2D + R1 + 2R2 + R3
|2D + R1 + 2R2 + R3
| 2D + R1 + R3
|2D + R1 + R3
| -x - (R3-R2)
| -x - (R3-R2)
|-
|-
! 4th string
!4th string
|3D
|3D
|3D + R1 + 2R2 + 2R3 + R4
| 3D + R1 + 2R2 + 2R3 + R4
| 3D - x + R1 + R2 + R4
|3D - x + R1 + R2 + R4
|x + (R3-R2) - (R4-R3)
|x + (R3-R2) - (R4-R3)
|-
|-
!5th string
! 5th string
| 4D
|4D
|4D + R1 + 2R2 + 2R3 + 2R4 + R5
|4D + R1 + 2R2 + 2R3 + 2R4 + R5
| 4D + R1 + 2R3 + R5
|4D + R1 + 2R3 + R5
| -x - (R3-R2) + (R4-R3) - (R5-R4)
| -x - (R3-R2) + (R4-R3) - (R5-R4)
|-
|-
! 6th string
!6th string
|5D
|5D
|5D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + R6
|5D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + R6
|5D - x + R1 + R2 + 2R4 + R6
|5D - x + R1 + R2 + 2R4 + R6
|x + (R3-R2) - (R4-R3) + (R5-R4) - (R6-R5)
| x + (R3-R2) - (R4-R3) + (R5-R4) - (R6-R5)
|-
|-
!7th string
!7th string
|6D
|6D
|6D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + 2R6 + R7
|6D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + 2R6 + R7
|6D + R1 + 2R3 + 2R5 + R7
| 6D + R1 + 2R3 + 2R5 + R7
| -x - (R3-R2) + (R4-R3) - (R5-R4) + (R6-R5) - (R7-R6)
| -x - (R3-R2) + (R4-R3) - (R5-R4) + (R6-R5) - (R7-R6)
|-
|-
!8th string
!8th string
| 7D
|7D
|7D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + 2R6 + 2R7 + R8
| 7D + R1 + 2R2 + 2R3 + 2R4 + 2R5 + 2R6 + 2R7 + R8
|7D - x + R1 + R2 + 2R4 + 2R6 + R8
|7D - x + R1 + R2 + 2R4 + 2R6 + R8
| (N/A)
|(N/A)
|}
|}
Note that the nut is slotted edge-to-next-edge but the bridge is edge-to-edge, so as one plays further up the neck, the spacing deviates from the ideal. Furthermore each string's sideways movement increases as you get away from the nut. But the spacing widens further up the neck, making fretting cleanly easier, so this is not a problem.  
Note that the nut is slotted edge-to-next-edge but the bridge is edge-to-edge, so as one plays further up the neck, the spacing deviates from the ideal. Furthermore each string's sideways movement increases as you get away from the nut. But the spacing widens further up the neck, making fretting cleanly easier, so this is not a problem.  
Line 626: Line 628:
!-26.8
!-26.8
!C#
!C#
! -46.3
!-46.3
!E
!E
!+34.1
!+34.1
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!Eb
!Eb
!-12.2
!-12.2
!G
! G
!-31.7
!-31.7
!'''*'''
!'''*'''
|-
|-
|
|
|5
| 5
|F
|F
| -36.6
| -36.6
Line 724: Line 726:
| -14.6
| -14.6
|C
|C
| -34.1
| -34.1
|Eb
|Eb
| +46.3
| +46.3
|G
|G
| +26.8
| +26.8
Line 752: Line 754:
|-
|-
|
|
|7
| 7
|F#
|F#
| -19.5
| -19.5
Line 780: Line 782:
!'''<u>''+0.0''</u>'''
!'''<u>''+0.0''</u>'''
!F#
!F#
! -19.5
!-19.5
!Bb
!Bb
!-39.0
!-39.0
Line 786: Line 788:
!+41.5
!+41.5
!F
!F
! +22.0
!+22.0
!'''<u>''A''</u>'''
!'''<u>''A''</u>'''
!'''<u>''+2.4''</u>'''
!'''<u>''+2.4''</u>'''
Line 838: Line 840:
|'''<u>''-4.9''</u>'''
|'''<u>''-4.9''</u>'''
|E
|E
| -24.4
| -24.4
|G#
|G#
| -43.9
| -43.9
|B
| B
| +36.6
| +36.6
|Eb
|Eb
Line 854: Line 856:
!'''12'''
!'''12'''
!A
!A
! -26.8
!-26.8
!C#
!C#
!-46.3
! -46.3
!E
!E
!+34.1
!+34.1
Line 866: Line 868:
!-24.4
!-24.4
!G#
!G#
!-43.9
! -43.9
!B
!B
!+36.6
!+36.6
Line 872: Line 874:
|-
|-
|
|
|13
| 13
|A
|A
| +31.7
| +31.7
Line 893: Line 895:
|
|
|14
|14
| Bb
|Bb
| -9.8
| -9.8
| D
|D
| -29.3
| -29.3
|F#
|F#
Line 952: Line 954:
|-
|-
|
|
|17
| 17
|C
|C
| -34.1
| -34.1
Line 992: Line 994:
|-
|-
|
|
|19
| 19
|C#
|C#
| -17.1
| -17.1
Line 1,047: Line 1,049:
|C#
|C#
| -17.1
| -17.1
| F
|F
| -36.6
| -36.6
|
|
Line 1,078: Line 1,080:
|'''<u>''-2.4''</u>'''
|'''<u>''-2.4''</u>'''
|B
|B
| -22.0
| -22.0
|Eb
|Eb
| -41.5
| -41.5
Line 1,113: Line 1,115:
|
|
|25
|25
|E
| E
| +34.1
| +34.1
|G#
|G#
Line 1,119: Line 1,121:
|'''<u>''C''</u>'''
|'''<u>''C''</u>'''
|'''<u>''-4.9''</u>'''
|'''<u>''-4.9''</u>'''
| E
|E
| -24.4
| -24.4
| G#
|G#
| -43.9
| -43.9
| B
|B
| +36.6
| +36.6
| Eb
|Eb
| +17.1
| +17.1
|'''<u>''G''</u>'''
|'''<u>''G''</u>'''
|'''<u>''-2.4''</u>'''
|'''<u>''-2.4''</u>'''
Line 1,152: Line 1,154:
|-
|-
|
|
|27
| 27
|F#
|F#
| -48.8
| -48.8
Line 1,183: Line 1,185:
!A
!A
!+31.7
!+31.7
!C#
! C#
!+12.2
!+12.2
!'''<u>''F''</u>'''
!'''<u>''F''</u>'''
Line 1,199: Line 1,201:
|D
|D
| +29.3
| +29.3
| F#
|F#
| +9.8
| +9.8
| Bb
|Bb
| -9.8
| -9.8
|D
|D
Line 1,212: Line 1,214:
|-
|-
|
|
|30
| 30
|G
|G
| +26.8
| +26.8
|'''<u>''B''</u>'''
|'''<u>''B''</u>'''
|'''<u>''+7.3''</u>'''
|'''<u>''+7.3''</u>'''
|Eb
| Eb
| -12.2
| -12.2
|G
|G
Line 1,234: Line 1,236:
|31
|31
|G#
|G#
| -14.6
| -14.6
|C
|C
| -34.1
| -34.1
|Eb
|Eb
| +46.3
| +46.3
Line 1,243: Line 1,245:
|'''<u>''B''</u>'''
|'''<u>''B''</u>'''
|'''<u>''+7.3''</u>'''
|'''<u>''+7.3''</u>'''
| Eb
|Eb
| -12.2
| -12.2
|G
|G
Line 1,292: Line 1,294:
|-
|-
|
|
| 34
|34
|Bb
|Bb
| -39.0
| -39.0
Line 1,340: Line 1,342:
!+39.0
!+39.0
!Bb
!Bb
!+19.5
! +19.5
!'''<u>''D''</u>'''
!'''<u>''D''</u>'''
!'''<u>''+0.0''</u>'''
!'''<u>''+0.0''</u>'''
Line 1,366: Line 1,368:
| +39.0
| +39.0
|Bb
|Bb
| +19.5
| +19.5
|'''<u>''D''</u>'''
|'''<u>''D''</u>'''
|'''<u>''+0.0''</u>'''
|'''<u>''+0.0''</u>'''
Line 1,388: Line 1,390:
| -22.0
| -22.0
|Eb
|Eb
| -41.5
| -41.5
|
|
|-
|-
|
|
|39
| 39
|C#
|C#
| -46.3
| -46.3
Line 1,421: Line 1,423:
!C#
!C#
!-46.3
!-46.3
!E
! E
!+34.1
!+34.1
!G#
!G#
Line 1,432: Line 1,434:
|-
|-
|
|
| 41
|41
|D
|D
| -29.3
| -29.3
Line 1,446: Line 1,448:
| -26.8
| -26.8
|C#
|C#
| -46.3
| -46.3
|E
|E
| +34.1
| +34.1
|
|
|}
|}
 
Cents of 41-equal, when calibrated to 440hz, with 6 different anchor notes:
===Frequencies===
{| class="wikitable left-2 right-3 left-4 right-5 left-6 right-7 left-8 right-9 left-10 right-11 center-all"
41-equal frequencies in Hertz. D is tuned to standard A-440 pitch. vA is roughly 432hz, and vvB is roughly the ubiquitous 60hz electrical hum.
!
{| class="wikitable"
! colspan="2" |F
|
! colspan="2" |C
|0th octave
! colspan="2" |G
|1st octave
! colspan="2" |D
|2nd octave
! colspan="2" |A
|3rd octave
! colspan="2" |E
|'''middle-C'''
!
|5th octave
|6th octave
|7th octave
|8th octave
|-
|-
!C
|'''C'''
|'''+2¢'''
|'''C'''
|'''+0¢'''
|'''C'''
|'''C'''
|'''16.305589'''
|'''-2¢'''
|'''32.611178'''
|'''C'''
|'''65.222357'''
|'''-5¢'''
|'''130.44471'''
|'''C'''
|'''260.88943'''
|'''-7¢'''
|'''521.77886'''
|'''C'''
|'''1043.5577'''
|'''-10¢'''
|'''2087.1154'''
!C
|'''4174.2308'''
|-
|-
!^C
|^C
|C
|16.583595
| +32¢
|33.167191
|C
|66.334382
| +29¢
|132.66876
| C
|265.33753
| +27¢
|530.67505
|'''C'''
|1061.3501
|'''+24¢'''
|2122.7002
|C
|4245.4004
| +22¢
|-
|C
|^^C / vDb
| +20¢
|16.866341
!^C
|33.732683
|-
|67.465366
!^^C / vDb
|134.93073
|C#
|269.86146
| -39¢
|539.72293
|C#
|1079.4459
| -41¢
|2158.8917
|C#
|4317.7834
| -44¢
|-
|'''C#'''
|vC# / Db
|'''-46¢'''
|17.153908
|C#
|34.307817
| -49¢
|68.615633
|C
| +49¢
!^^C / vDb
|-
!vC# / Db
|C#
| -10¢
|C#
| -12¢
|C#
| -15¢
|'''C#'''
|'''-17¢'''
|C#
| -20¢
|C#
| -22¢
!vC# / Db
|-
!C# / ^Db
|C#
| +20¢
|C#
| +17¢
|C#
| +15¢
|'''C#'''
|'''+12¢'''
|C#
| +10¢
|C#
| +7¢
!C# / ^Db
|-
!^C# / vvD
|C#
| +49¢
|C#
| +46¢
|C#
| +44¢
|'''C#'''
|'''+41¢'''
|C#
| +39¢
|C#
| +37¢
!^C# / vvD
|-
!vD
|D
| -22¢
|D
| -24¢
|D
| -27¢
|'''D'''
|'''-29¢'''
|D
| -32¢
|D
| -34¢
!vD
|-
!D
|'''D'''
|'''+7¢'''
|'''D'''
|'''+5¢'''
|'''D'''
|'''+2¢'''
|'''D'''
|'''+0¢'''
|'''D'''
|'''-2¢'''
|'''D'''
|'''-5¢'''
!D
|-
!^D
|D
| +37¢
|D
| +34¢
|D
| +32¢
|'''D'''
|'''+29¢'''
|D
| +27¢
|D
| +24¢
!^D
|-
!^^D / vEb
|Eb
| -34¢
|Eb
| -37¢
|Eb
| -39¢
|'''Eb'''
|'''-41¢'''
|Eb
| -44¢
|Eb
| -46¢
!^^D / vEb
|-
!vD# / Eb
|Eb
| -5¢
|Eb
| -7¢
|Eb
| -10¢
|'''Eb'''
|'''-12¢'''
|Eb
| -15¢
|Eb
| -17¢
!vD# / Eb
|-
!D# / ^Eb
|Eb
| +24¢
|Eb
| +22¢
|Eb
| +20¢
|'''Eb'''
|'''+17¢'''
|Eb
| +15¢
|Eb
| +12¢
!D# / ^Eb
|-
!^D# / vvE
|E
| -46¢
|E
| -49¢
|Eb
| +49¢
|'''Eb'''
|'''+46¢'''
|Eb
| +44¢
|Eb
| +41¢
!^D# / vvE
|-
!vE
|E
| -17¢
|E
| -20¢
|E
| -22¢
|'''E'''
|'''-24¢'''
|E
| -27¢
|E
| -29¢
!vE
|-
!E
|'''E'''
|'''+12¢'''
|'''E'''
|'''+10¢'''
|'''E'''
|'''+7¢'''
|'''E'''
|'''+5¢'''
|'''E'''
|'''+2¢'''
|'''E'''
|'''+0¢'''
!E
|-
!^E
|E
| +41¢
|E
| +39¢
|E
| +37¢
|'''E'''
|'''+34¢'''
|E
| +32¢
|E
| +29¢
!^E
|-
!vF
|F
| -29¢
|F
| -32¢
|F
| -34¢
|'''F'''
|'''-37¢'''
|F
| -39¢
|F
| -41¢
!vF
|-
!F
|'''F'''
|'''+0¢'''
|'''F'''
|'''-2¢'''
|'''F'''
|'''-5¢'''
|'''F'''
|'''-7¢'''
|'''F'''
|'''-10¢'''
|'''F'''
|'''-12¢'''
!F
|-
!^F
|F
| +29¢
|F
| +27¢
|F
| +24¢
|'''F'''
|'''+22¢'''
|F
| +20¢
|F
| +17¢
!^F
|-
!^^F / vGb
|F#
| -41¢
|F#
| -44¢
|F#
| -46¢
|'''F#'''
|'''-49¢'''
|F
| +49¢
|F
| +46¢
!^^F / vGb
|-
!vF# / Gb
|F#
| -12¢
|F#
| -15¢
|F#
| -17¢
|'''F#'''
|'''-20¢'''
|F#
| -22¢
|F#
| -24¢
!vF# / Gb
|-
!#F / ^Gb
|F#
| +17¢
|F#
| +15¢
|F#
| +12¢
|'''F#'''
|'''+10¢'''
|F#
| +7¢
|F#
| +5¢
!#F / ^Gb
|-
!^F# / vvG
|F#
| +46¢
|F#
| +44¢
|F#
| +41¢
|'''F#'''
|'''+39¢'''
|F#
| +37¢
|F#
| +34¢
!^F# / vvG
|-
!vG
|G
| -24¢
|G
| -27¢
|G
| -29¢
|'''G'''
|'''-32¢'''
|G
| -34¢
|G
| -37¢
!vG
|-
!G
|'''G'''
|'''+5¢'''
|'''G'''
|'''+2¢'''
|'''G'''
|'''+0¢'''
|'''G'''
|'''-2¢'''
|'''G'''
|'''-5¢'''
|'''G'''
|'''-7¢'''
!G
|-
!^G
|G
| +34¢
|G
| +32¢
|G
| +29¢
|'''G'''
|'''+27¢'''
|G
| +24¢
|G
| +22¢
!^G
|-
!^^G / vAb
|G#
| -37¢
|G#
| -39¢
|G#
| -41¢
|'''G#'''
|'''-44¢'''
|G#
| -46¢
|G#
| -49¢
!^^G / vAb
|-
!vG# / Ab
|G#
| -7¢
|G#
| -10¢
|G#
| -12¢
|'''G#'''
|'''-15¢'''
|G#
| -17¢
|G#
| -20¢
!vG# / Ab
|-
!G# / ^Ab
|G#
| +22¢
|G#
| +20¢
|G#
| +17¢
|'''G#'''
|'''+15¢'''
|G#
| +12¢
|G#
| +10¢
!G# / ^Ab
|-
!^G# / vvA
|A
| -49¢
|G#
| +49¢
|G#
| +46¢
|'''G#'''
|'''+44¢'''
|G#
| +41¢
|G#
| +39¢
!^G# / vvA
|-
!vA
|A
| -20¢
|A
| -22¢
|A
| -24¢
|'''A'''
|'''-27¢'''
|A
| -29¢
|A
| -32¢
!vA
|-
! A
|'''A'''
|'''+10¢'''
|'''A'''
|'''+7¢'''
|'''A'''
|'''+5¢'''
|'''A'''
|'''+2¢'''
|'''A'''
|'''+0¢'''
|'''A'''
|'''-2¢'''
!A
|-
!^A
|A
| +39¢
|A
| +37¢
|A
| +34¢
|'''A'''
|'''+32¢'''
|A
| +29¢
|A
| +27¢
!^A
|-
!^^A / vBb
|Bb
| -32¢
|Bb
| -34¢
|Bb
| -37¢
|'''Bb'''
|'''-39¢'''
|Bb
| -41¢
|Bb
| -44¢
!^^A / vBb
|-
!vA# / Bb
|Bb
| -2¢
| Bb
| -5¢
|Bb
| -7¢
|'''Bb'''
|'''-10¢'''
|Bb
| -12¢
|Bb
| -15¢
!vA# / Bb
|-
!A# / ^Bb
|Bb
| +27¢
|Bb
| +24¢
|Bb
| +22¢
|'''Bb'''
|'''+20¢'''
|Bb
| +17¢
|Bb
| +15¢
!A# / ^Bb
|-
!^A# / vvB
|B
| -44¢
|B
| -46¢
|B
| -49¢
|'''Bb'''
|'''+49¢'''
|Bb
| +46¢
|Bb
| +44¢
!^A# / vvB
|-
!vB
|B
| -15¢
|B
| -17¢
|B
| -20¢
|'''B'''
|'''-22¢'''
|B
| -24¢
|B
| -27¢
!vB
|-
!B
|'''B'''
|'''+15¢'''
|'''B'''
|'''+12¢'''
|'''B'''
|'''+10¢'''
|'''B'''
|'''+7¢'''
|'''B'''
|'''+5¢'''
|'''B'''
|'''+2¢'''
!B
|-
!^B
|B
|  +44¢
|B
| +41¢
|B
| +39¢
|'''B'''
|'''+37¢'''
|B
| +34¢
|B
| +32¢
!^B
|-
!vC
|C
| -27¢
|C
| -29¢
|C
| -32¢
|'''C'''
|'''-34¢'''
|C
| -37¢
|C
| -39¢
!vC
|-
!C
|'''C'''
|'''+2¢'''
|'''C'''
|'''+0¢'''
|'''C'''
|'''-2¢'''
|'''C'''
|'''-5¢'''
|'''C'''
|'''-7¢'''
|'''C'''
|'''-10¢'''
!C
|-
!
! colspan="2" |F
! colspan="2" |C
! colspan="2" |G
! colspan="2" |D
! colspan="2" |A
! colspan="2" |E
!
|}
 
===Frequencies===
41-equal frequencies in Hertz. D is tuned to standard A-440 pitch. vA is roughly 432hz, and vvB is roughly the ubiquitous 60hz electrical hum.
{| class="wikitable"
!
!0th octave
!1st octave
!2nd octave
!3rd octave
!middle-C
!5th octave
!6th octave
!7th octave
!8th octave
|-
!C
|'''16.305589'''
|'''32.611178'''
|'''65.222357'''
|'''130.44471'''
|'''260.88943'''
|'''521.77886'''
|'''1043.5577'''
|'''2087.1154'''
|'''4174.2308'''
|-
!^C
|16.583595
|33.167191
|66.334382
|132.66876
|265.33753
|530.67505
|1061.3501
|2122.7002
|4245.4004
|-
!^^C / vDb
|16.866341
|33.732683
|67.465366
|134.93073
|269.86146
|539.72293
|1079.4459
|2158.8917
|4317.7834
|-
!vC# / Db
|17.153908
|34.307817
|68.615633
|137.23127
|137.23127
|274.46253
|274.46253
Line 1,510: Line 2,162:
|4391.4005
|4391.4005
|-
|-
|C# / ^Db
!C# / ^Db
|17.446378
|17.446378
|34.892756
|34.892756
Line 1,521: Line 2,173:
|4466.2728
|4466.2728
|-
|-
|^C# / vvD
!^C# / vvD
|17.743834
|17.743834
|35.487669
|35.487669
Line 1,532: Line 2,184:
|4542.4216
|4542.4216
|-
|-
|vD
!vD
|18.046362
|18.046362
|36.092724
|36.092724
Line 1,543: Line 2,195:
|4619.8687
|4619.8687
|-
|-
|'''D'''
!D
|'''18.354048'''
|'''18.354048'''
|'''36.708096'''
|'''36.708096'''
Line 1,554: Line 2,206:
|'''4698.6363'''
|'''4698.6363'''
|-
|-
|^D
!^D
|18.666980
|18.666980
|37.333960
|37.333960
Line 1,565: Line 2,217:
|4778.7468
|4778.7468
|-
|-
|^^D / vEb
!^^D / vEb
|18.985247
|18.985247
|37.970494
|37.970494
Line 1,576: Line 2,228:
|4860.2232
|4860.2232
|-
|-
|vD# / Eb
!vD# / Eb
|19.308941
|19.308941
|38.617881
|38.617881
Line 1,587: Line 2,239:
|4943.0888
|4943.0888
|-
|-
|D# / ^Eb
!D# / ^Eb
|19.638153
|19.638153
|39.276306
|39.276306
Line 1,598: Line 2,250:
|5027.3672
|5027.3672
|-
|-
|^D# / vvE
!^D# / vvE
|19.972979
|19.972979
|39.945957
|39.945957
Line 1,609: Line 2,261:
|5113.0825
|5113.0825
|-
|-
|vE
!vE
|20.313513
|20.313513
|40.627026
|40.627026
Line 1,620: Line 2,272:
|5200.2593
|5200.2593
|-
|-
|'''E'''
!E
|'''20.659853'''
|'''20.659853'''
|'''41.319706'''
|'''41.319706'''
Line 1,631: Line 2,283:
|'''5288.9224'''
|'''5288.9224'''
|-
|-
|^E
!^E
|21.012098
|21.012098
|42.024197
|42.024197
Line 1,642: Line 2,294:
|5379.0972
|5379.0972
|-
|-
|vF
!vF
|21.370349
|21.370349
| 42.740698
|42.740698
|85.481397
|85.481397
|170.96279
|170.96279
Line 1,653: Line 2,305:
|5470.8094
|5470.8094
|-
|-
|'''F'''
!F
|'''21.734708'''
|'''21.734708'''
|'''43.469416'''
|'''43.469416'''
Line 1,664: Line 2,316:
|'''5564.0853'''
|'''5564.0853'''
|-
|-
|^F
!^F
|22.105279
|22.105279
|44.210559
|44.210559
Line 1,675: Line 2,327:
|5658.9515
|5658.9515
|-
|-
|^^F / vGb
!^^F / vGb
|22.482169
|22.482169
|44.964337
|44.964337
Line 1,686: Line 2,338:
|5755.4352
|5755.4352
|-
|-
|vF# / Gb
!vF# / Gb
|22.865484
|22.865484
|45.730968
|45.730968
Line 1,697: Line 2,349:
|5853.5639
|5853.5639
|-
|-
|F# / ^Gb
!#F / ^Gb
|23.255335
|23.255335
|46.510669
|46.510669
Line 1,708: Line 2,360:
|5953.3657
|5953.3657
|-
|-
|^F# / vvG
!^F# / vvG
|23.651832
|23.651832
|47.303664
|47.303664
Line 1,719: Line 2,371:
|6054.8690
|6054.8690
|-
|-
|vG
!vG
|24.055090
|24.055090
| 48.110180
|48.110180
|96.220359
|96.220359
|192.44072
|192.44072
Line 1,730: Line 2,382:
|6158.1030
|6158.1030
|-
|-
|'''G'''
!G
|'''24.465223'''
|'''24.465223'''
|'''48.930446'''
|'''48.930446'''
Line 1,741: Line 2,393:
|'''6263.0971'''
|'''6263.0971'''
|-
|-
|^G
!^G
|24.882349
|24.882349
|49.764698
|49.764698
Line 1,752: Line 2,404:
|6369.8813
|6369.8813
|-
|-
|^^G / vAb
!^^G / vAb
|25.306586
|25.306586
|50.613173
|50.613173
Line 1,763: Line 2,415:
|6478.4861
|6478.4861
|-
|-
|vG# / Ab
!vG# / Ab
|25.738057
|25.738057
|51.476115
|51.476115
Line 1,774: Line 2,426:
|6588.9427
|6588.9427
|-
|-
|G# / ^Ab
!G# / ^Ab
|26.176885
|26.176885
| 52.353769
|52.353769
|104.707538
|104.707538
|209.41508
|209.41508
Line 1,785: Line 2,437:
|6701.2825
|6701.2825
|-
|-
|^G# / vvA
!^G# / vvA
|26.623194
|26.623194
|53.246388
|53.246388
Line 1,796: Line 2,448:
|6815.5376
|6815.5376
|-
|-
|vA
!vA
|27.077112
|27.077112
|54.154225
|54.154225
Line 1,807: Line 2,459:
|6931.7408
|6931.7408
|-
|-
|'''A'''
!A
|'''27.538770'''
|'''27.538770'''
|'''55.077541'''
|'''55.077541'''
Line 1,818: Line 2,470:
|'''7049.9252'''
|'''7049.9252'''
|-
|-
|^A
!^A
|28.008299
|28.008299
|56.016599
|56.016599
Line 1,829: Line 2,481:
|7170.1246
|7170.1246
|-
|-
|^^A / vBb
!^^A / vBb
|28.485834
|28.485834
|56.971667
|56.971667
Line 1,840: Line 2,492:
|7292.3734
|7292.3734
|-
|-
|vA# / Bb
!vA# / Bb
|28.971510
|28.971510
|57.943020
|57.943020
Line 1,851: Line 2,503:
|7416.7065
|7416.7065
|-
|-
|A# / ^Bb
!A# / ^Bb
|29.465467
|29.465467
|58.930933
|58.930933
Line 1,862: Line 2,514:
|7543.1595
|7543.1595
|-
|-
|^A# / vvB
!^A# / vvB
|29.967845
|29.967845
|59.935691
|59.935691
Line 1,873: Line 2,525:
|7671.7684
|7671.7684
|-
|-
|vB
!vB
|30.478789
|30.478789
|60.957579
|60.957579
Line 1,884: Line 2,536:
|7802.5701
|7802.5701
|-
|-
|'''B'''
!B
|'''30.998445'''
|'''30.998445'''
|'''61.996890'''
|'''61.996890'''
Line 1,895: Line 2,547:
|'''7935.6019'''
|'''7935.6019'''
|-
|-
|^B
!^B
|31.526961
|31.526961
|63.053921
|63.053921
Line 1,906: Line 2,558:
|8070.9019
|8070.9019
|-
|-
|vC
!vC
|32.064487
|32.064487
|64.128974
|64.128974
Line 1,917: Line 2,569:
|8208.5087
|8208.5087
|-
|-
|'''C'''
!C
|'''32.611178'''
|'''32.611178'''
|'''65.222357'''
|'''65.222357'''
Retrieved from "https://en.xen.wiki/w/How_to_make_a_Kite_Guitar"