Upvote:5
As I understand it you want to know how long you have to wait to make a fresh application following the refusal of a visitor visa application. You mentioned that they gave multiple reasons for the refusal, but the only apparent question is the interval ('how long...').
There is no set interval required between successive applications. You can apply again immediately if you want. Many people do this when the refusal is simple enough to fix, like they submitted the wrong bank statement or forgot to include their employment contract.
Based on what you wrote, you would need to spend some time to prepare a more convincing set of evidence. You did not include the text of your refusal notice, so I cannot be more specific. You can read the guidance for visitor applications at https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/424265/VAF1-GUIDANCE-NOTES.pdf The guidance was published only last week, so it's likely you haven't seen this version before.
To summarize: you can make a new application any time you want, even on the same day as your refusal. But note that if you apply with the same evidence they will refuse again and then matters will be worse.
NOTE: See also How Long till I Reapply