Opcode for converting floats into numbers in base n?

spruitje · 27 April 2022 17:00

Are there Csound opcodes for converting a floating point number into a floating point number expressed in base 3 or 4 or 5 etc. ?

rorywalsh · 27 April 2022 17:50

None that I’m aware of. Do you mean log base 3? Or are you trying to represent a floating point number in base 3, i.e., as a ternary digit?

spruitje · 27 April 2022 18:02

The latter. Just as you have binary numbers (base 2), there are ternary numbers (base 3), quarternary numbers (base 4) , etc. I like to convert a given floating point number to a number in a chosen base (that may be 2, 3, 4, etc.).

rorywalsh · 27 April 2022 18:54

Then you would need to write a UDO I think. You might also have to use strings to represent the digits? I don’t know, just thinking aloud…

spruitje · 27 April 2022 19:16

Could it be that somebody has already written such a UDO? And if so where can I find it?

rorywalsh · 27 April 2022 19:20

Steven Yi has released a base 16 system for creating hex beats in Csound.

github.com

kunstmusik/csound-live-code/blob/master/doc/hexadecimal_beats.md

# Hexadecimal Beats

Hexadecimal Beats is a system for using Hexadecimal notation (base 16) for notating rhythmic onsets. It allows for notating a set of four sixteenth notes using a single character. The system matches up well with drum programming and modular sequencer programming practices and is useful for drum and melodic line programming for synchronized music. 

NOTE: I had developed and worked with this system for a couple of years before coming across prior work by Bernhard Wagner in [http://bernhardwagner.net/musings/RPABN.html](Rhythmic Patterns As Binary Numbers). The article by Wagner discusses the use for notation and gives examples performed by instrumentalists as well as bit shifting and complementation operations. 

## Hexadecimal (Base 16), Binary (Base 2), and Base 10

A Hexadecimal digit is written using the numbers 0-9 and letters a-f. Each digit maps to one of the base 10 numbers between 0 and 15. A single hexadecimal digit is equivalent to a four-digit base 2 number (i.e., 4 bits). If the 1's and 0's of base 2 are interpreted as note hits and silences, a single hexadecimal digit can represent one beat of material made up of four sixteenth notes.  

| Hex | Binary | Base 10 | 
|:--:|:--:|:--:|
|0 | 0000 | 00 | 
|1 | 0001 | 01 | 
|2 | 0010 | 02 | 
|3 | 0011 | 03 | 
|4 | 0100 | 04 | 
|5 | 0101 | 05 | 
|6 | 0110 | 06 | 
|7 | 0111 | 07 |

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spruitje · 27 April 2022 19:35

Thanks. But that’s not quite what I’m looking for.

rorywalsh · 27 April 2022 19:55

No, but he does work with base N representations of numbers as strings, which is probably what you might need to do too. Either way, I don’t think there are any opcodes for this. Are you on the Csound discord forum? You could try asking there

spruitje · 27 April 2022 20:42

Took a look on the Discord forum but I don’t understand how that forum works. Are there no topics there? Or a tutorial on what you are supposed to do?

rorywalsh · 27 April 2022 20:59

It’s not really a forum, it’s more a chat room. People drop in and out all the time. Just throw out the question and see who bites

spruitje · 27 April 2022 21:31

OK - I will do so tomorrow. It’s getting late here.