How can I change the default encoding type Thunderbird uses when composing a new email?

In Thunderbird 78+:

Menu > Options > General > Language & Appearance > Advanced button > Text encoding

Text encoding settings in Thunderbird 78


Tools → Options → Display → Formatting → Fonts → Advanced... → Character Encodings → Outgoing Mail:

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For Thunderbird 17 on the Mac, you can find this setting at:

Thunderbird > Preferences > Display > Formatting > Advanced

Look at the Character Encodings section, as seen here:

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On Mac OS X you have to use the Config Editor (also know as about:config) found in Preferences -> Advanced -> General. Change the value of the preference named mailnews.send_default_charset to UTF-8.