There are alrealdy good answers to your query....not all of us smoke cigars the same but we do share commonality as far as technique. There are ways by which we can enhance the experience and taste flavors and it's a continued exposure to any particular brand. There are some "no-nos" that need to be heard....don't bring in outside flavors that will mute your experience....like strong acidic flavors...spicy foods, brushing your teeth right before smoking....antiobiotics will dull your taste buds as will certain medications. Don't drink too hot a beverage where it "burns" your tongue and leaves your taste receptors in a tizzy. How you draw your cigar....nice methodical cadence so you aren't sitting there "hot boxing" it where you are almost burning your mouth and tongue. Leave at least an inch of ash at the end to insulate it so that it isn't burning so hot and let the smoke just casually make it's way around the inside of your mouth.,,,almost like it's soaking and the cooler the smoke inside the more taste you're going to get and those commercials and movies where the smoker blows the smoke out like it's water,,,,don't do that! It's about how the smoke is being soaked into your tissues.....almost like chewing tobacco or snuff where one gets as much of the taste and texture of the smoke...i.e....."chewy" is what we commonly refer to. Density of the smoke is another factor.....volume which will give your taste buds a nice ride and to achieve this you need a cigar that is packed a bit more tight so that you dont feel like you're smoking a paper towel roll,,,,thin and where the smoke is really not what you want to where it's almost like comparing a thin breakfast steak to a 2 inch Ribeye....in order to get a rich taste you need enough of the smoke to give you a rich sample. Just a few tips I've learned in 56 years.
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