Dear Jon, I'm pleased my e-mail on the theorbo tuning was useful. I think you understand it now.
The word "re-entrant" is used to describe a tuning where the strings do not ascend in the usual order of pitch. A harp, a violin, a modern guitar - these and many more - do not have re-entrant tunings, because as you go from the lowest string to the highest, each successive string is higher than the previous one. A good example of an instrument with a re-entrant tuning is the five-string banjo, which has that short 5th string tuned higher than the others, yet it lies where you'd expect the lowest string to be: ---(-)-----°---------------------- ----/--------------------------o-- --/-|\--------------------o------- -(--|-)--------------o------------ --\-|----------------------------- _|8 ° String: 5 4 3 2 1 The English cittern is another instrument with a re-entrant tuning: ---(-)----------°------------ ----/----------------o----°-- --/-|\-----o----------------- -(--|-)---------o------------ --\-|------------------------ _|8 Course: 4 3 2 1 which is similar to the re-entrant tuning of the ukulele: ---(-)----------------------- ----/------o--------------°-- --/-|\---------------o------- -(--|-)---------o------------ --\-|------------------------ _|8 String: 4 3 2 1 The baroque guitar had various tunings, of which this re-entrant one was common in France: ---(-)----------------------------- ----/-----------o--------------°--- --/-|\--------------------o-------- -(--|-)----°---------o------------- --\-|------------------------------ _|8 ° Course: 5 4 3 2 1 The re-entrant tuning of a theorbo with 2 courses down an octave would look like this: ----------------------------------°---o- -(---):-------------------------°------- ----/-------------------------o-----°--- ---/------------------------------------ --------------------------o-°----------- --------------o-° ---------o- ° ---o--° ° Course:14 13 12 11 10 9 8 7 6 5 4 3 2 1 I've not tried writing music in this way before. It looks OK on my screen; I just hope it comes out OK on yours. You'll need a mono-spaced font like Courier to get the vertical alignment correct, and with luck the little degree signs will look like notes in the spaces between lines. Best wishes, Stewart. ----- Original Message ----- From: "Jon Murphy" <[EMAIL PROTECTED]> To: "Lute Net" <[EMAIL PROTECTED]>; "Stewart McCoy" <[EMAIL PROTECTED]> Sent: Sunday, January 11, 2004 6:29 AM Subject: Re: Double 1st (HIP message included) > OK, I'm a retired computer programmer at that level where we wrote the > internal code. Re-entrant has a meaning to me that may be different than > your use in the musical sense. But there may be a parallel. Do you mean that > the theorbo tuning allows you to "run up" the instrument and re-enter the > melody at a lower pitch? > Best, Jon